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current location:Derivative function > Derivative function calculation history > Answer
    There are 1 questions in this calculation: for each question, the 4 derivative of x is calculated.
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\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ sqrt(\frac{(x + 2)(x + 3)}{((x + 4)(x + 5))})\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = sqrt(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( sqrt(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})\right)}{dx}\\=&\frac{((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))*\frac{1}{2}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}}\\=&\frac{-x^{3}}{(x^{2} + 9x + 20)^{2}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{19x^{2}}{2(x^{2} + 9x + 20)^{2}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} + \frac{x}{(x^{2} + 9x + 20)(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{57x}{2(x^{2} + 9x + 20)^{2}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} + \frac{5}{2(x^{2} + 9x + 20)(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{27}{(x^{2} + 9x + 20)^{2}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( \frac{-x^{3}}{(x^{2} + 9x + 20)^{2}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{19x^{2}}{2(x^{2} + 9x + 20)^{2}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} + \frac{x}{(x^{2} + 9x + 20)(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{57x}{2(x^{2} + 9x + 20)^{2}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} + \frac{5}{2(x^{2} + 9x + 20)(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{27}{(x^{2} + 9x + 20)^{2}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}}\right)}{dx}\\=&\frac{-(\frac{-2(2x + 9 + 0)}{(x^{2} + 9x + 20)^{3}})x^{3}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{(\frac{\frac{-1}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}})x^{3}}{(x^{2} + 9x + 20)^{2}} - \frac{3x^{2}}{(x^{2} + 9x + 20)^{2}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{19(\frac{-2(2x + 9 + 0)}{(x^{2} + 9x + 20)^{3}})x^{2}}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{19(\frac{\frac{-1}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}})x^{2}}{2(x^{2} + 9x + 20)^{2}} - \frac{19*2x}{2(x^{2} + 9x + 20)^{2}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} + \frac{(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} + \frac{(\frac{\frac{-1}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}})x}{(x^{2} + 9x + 20)} + \frac{1}{(x^{2} + 9x + 20)(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{57(\frac{-2(2x + 9 + 0)}{(x^{2} + 9x + 20)^{3}})x}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{57(\frac{\frac{-1}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}})x}{2(x^{2} + 9x + 20)^{2}} - \frac{57}{2(x^{2} + 9x + 20)^{2}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} + \frac{5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} + \frac{5(\frac{\frac{-1}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}})}{2(x^{2} + 9x + 20)} - \frac{27(\frac{-2(2x + 9 + 0)}{(x^{2} + 9x + 20)^{3}})}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{27(\frac{\frac{-1}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}})}{(x^{2} + 9x + 20)^{2}}\\=&\frac{4x^{4}}{(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} + \frac{2x^{4}}{(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{x^{6}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{4}} - \frac{19x^{5}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{4}} + \frac{56x^{3}}{(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{589x^{4}}{4(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{4}} + \frac{24x^{3}}{(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{1191x^{3}}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{4}} - \frac{3x^{2}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}(x^{2} + 9x + 20)^{2}} + \frac{285x^{2}}{(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} + \frac{209x^{2}}{2(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{19x}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}(x^{2} + 9x + 20)^{2}} - \frac{2x^{2}}{(x^{2} + 9x + 20)^{2}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{x^{2}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{2}} - \frac{14x}{(x^{2} + 9x + 20)^{2}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{5x}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{2}} + \frac{621x}{(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{5301x^{2}}{4(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{4}} + \frac{393x}{2(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{1539x}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{4}} - \frac{51}{(x^{2} + 9x + 20)^{2}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} + \frac{486}{(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} + \frac{135}{(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{25}{4(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{2}} - \frac{729}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{4}} + \frac{1}{(x^{2} + 9x + 20)(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}}\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( \frac{4x^{4}}{(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} + \frac{2x^{4}}{(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{x^{6}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{4}} - \frac{19x^{5}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{4}} + \frac{56x^{3}}{(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{589x^{4}}{4(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{4}} + \frac{24x^{3}}{(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{1191x^{3}}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{4}} - \frac{3x^{2}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}(x^{2} + 9x + 20)^{2}} + \frac{285x^{2}}{(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} + \frac{209x^{2}}{2(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{19x}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}(x^{2} + 9x + 20)^{2}} - \frac{2x^{2}}{(x^{2} + 9x + 20)^{2}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{x^{2}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{2}} - \frac{14x}{(x^{2} + 9x + 20)^{2}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{5x}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{2}} + \frac{621x}{(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{5301x^{2}}{4(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{4}} + \frac{393x}{2(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{1539x}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{4}} - \frac{51}{(x^{2} + 9x + 20)^{2}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} + \frac{486}{(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} + \frac{135}{(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{25}{4(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{2}} - \frac{729}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{4}} + \frac{1}{(x^{2} + 9x + 20)(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}}\right)}{dx}\\=&\frac{4(\frac{-3(2x + 9 + 0)}{(x^{2} + 9x + 20)^{4}})x^{4}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} + \frac{4(\frac{\frac{-1}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}})x^{4}}{(x^{2} + 9x + 20)^{3}} + \frac{4*4x^{3}}{(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} + \frac{2(\frac{-3(2x + 9 + 0)}{(x^{2} + 9x + 20)^{4}})x^{4}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{2(\frac{\frac{-3}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}})x^{4}}{(x^{2} + 9x + 20)^{3}} + \frac{2*4x^{3}}{(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{(\frac{\frac{-3}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}})x^{6}}{(x^{2} + 9x + 20)^{4}} - \frac{(\frac{-4(2x + 9 + 0)}{(x^{2} + 9x + 20)^{5}})x^{6}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{6x^{5}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{4}} - \frac{19(\frac{\frac{-3}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}})x^{5}}{(x^{2} + 9x + 20)^{4}} - \frac{19(\frac{-4(2x + 9 + 0)}{(x^{2} + 9x + 20)^{5}})x^{5}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{19*5x^{4}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{4}} + \frac{56(\frac{-3(2x + 9 + 0)}{(x^{2} + 9x + 20)^{4}})x^{3}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} + \frac{56(\frac{\frac{-1}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}})x^{3}}{(x^{2} + 9x + 20)^{3}} + \frac{56*3x^{2}}{(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{589(\frac{\frac{-3}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}})x^{4}}{4(x^{2} + 9x + 20)^{4}} - \frac{589(\frac{-4(2x + 9 + 0)}{(x^{2} + 9x + 20)^{5}})x^{4}}{4(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{589*4x^{3}}{4(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{4}} + \frac{24(\frac{-3(2x + 9 + 0)}{(x^{2} + 9x + 20)^{4}})x^{3}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{24(\frac{\frac{-3}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}})x^{3}}{(x^{2} + 9x + 20)^{3}} + \frac{24*3x^{2}}{(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{1191(\frac{\frac{-3}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}})x^{3}}{2(x^{2} + 9x + 20)^{4}} - \frac{1191(\frac{-4(2x + 9 + 0)}{(x^{2} + 9x + 20)^{5}})x^{3}}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{1191*3x^{2}}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{4}} - \frac{3(\frac{\frac{-1}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}})x^{2}}{(x^{2} + 9x + 20)^{2}} - \frac{3(\frac{-2(2x + 9 + 0)}{(x^{2} + 9x + 20)^{3}})x^{2}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{3*2x}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}(x^{2} + 9x + 20)^{2}} + \frac{285(\frac{-3(2x + 9 + 0)}{(x^{2} + 9x + 20)^{4}})x^{2}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} + \frac{285(\frac{\frac{-1}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}})x^{2}}{(x^{2} + 9x + 20)^{3}} + \frac{285*2x}{(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} + \frac{209(\frac{-3(2x + 9 + 0)}{(x^{2} + 9x + 20)^{4}})x^{2}}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{209(\frac{\frac{-3}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}})x^{2}}{2(x^{2} + 9x + 20)^{3}} + \frac{209*2x}{2(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{19(\frac{\frac{-1}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}})x}{(x^{2} + 9x + 20)^{2}} - \frac{19(\frac{-2(2x + 9 + 0)}{(x^{2} + 9x + 20)^{3}})x}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{19}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}(x^{2} + 9x + 20)^{2}} - \frac{2(\frac{-2(2x + 9 + 0)}{(x^{2} + 9x + 20)^{3}})x^{2}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{2(\frac{\frac{-1}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}})x^{2}}{(x^{2} + 9x + 20)^{2}} - \frac{2*2x}{(x^{2} + 9x + 20)^{2}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{(\frac{\frac{-3}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}})x^{2}}{(x^{2} + 9x + 20)^{2}} - \frac{(\frac{-2(2x + 9 + 0)}{(x^{2} + 9x + 20)^{3}})x^{2}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{2x}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{2}} - \frac{14(\frac{-2(2x + 9 + 0)}{(x^{2} + 9x + 20)^{3}})x}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{14(\frac{\frac{-1}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}})x}{(x^{2} + 9x + 20)^{2}} - \frac{14}{(x^{2} + 9x + 20)^{2}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{5(\frac{\frac{-3}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}})x}{(x^{2} + 9x + 20)^{2}} - \frac{5(\frac{-2(2x + 9 + 0)}{(x^{2} + 9x + 20)^{3}})x}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{5}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{2}} + \frac{621(\frac{-3(2x + 9 + 0)}{(x^{2} + 9x + 20)^{4}})x}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} + \frac{621(\frac{\frac{-1}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}})x}{(x^{2} + 9x + 20)^{3}} + \frac{621}{(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{5301(\frac{\frac{-3}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}})x^{2}}{4(x^{2} + 9x + 20)^{4}} - \frac{5301(\frac{-4(2x + 9 + 0)}{(x^{2} + 9x + 20)^{5}})x^{2}}{4(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{5301*2x}{4(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{4}} + \frac{393(\frac{-3(2x + 9 + 0)}{(x^{2} + 9x + 20)^{4}})x}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{393(\frac{\frac{-3}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}})x}{2(x^{2} + 9x + 20)^{3}} + \frac{393}{2(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{1539(\frac{\frac{-3}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}})x}{(x^{2} + 9x + 20)^{4}} - \frac{1539(\frac{-4(2x + 9 + 0)}{(x^{2} + 9x + 20)^{5}})x}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{1539}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{4}} - \frac{51(\frac{-2(2x + 9 + 0)}{(x^{2} + 9x + 20)^{3}})}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{51(\frac{\frac{-1}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}})}{(x^{2} + 9x + 20)^{2}} + \frac{486(\frac{-3(2x + 9 + 0)}{(x^{2} + 9x + 20)^{4}})}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} + \frac{486(\frac{\frac{-1}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}})}{(x^{2} + 9x + 20)^{3}} + \frac{135(\frac{-3(2x + 9 + 0)}{(x^{2} + 9x + 20)^{4}})}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{135(\frac{\frac{-3}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}})}{(x^{2} + 9x + 20)^{3}} - \frac{25(\frac{\frac{-3}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}})}{4(x^{2} + 9x + 20)^{2}} - \frac{25(\frac{-2(2x + 9 + 0)}{(x^{2} + 9x + 20)^{3}})}{4(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{729(\frac{\frac{-3}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}})}{(x^{2} + 9x + 20)^{4}} - \frac{729(\frac{-4(2x + 9 + 0)}{(x^{2} + 9x + 20)^{5}})}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} + \frac{(\frac{\frac{-1}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}})}{(x^{2} + 9x + 20)}\\=&\frac{-24x^{5}}{(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{25x^{5}}{(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{12x^{7}}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{282x^{6}}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{6x^{7}}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{129x^{6}}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{9x^{5}}{(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{2793x^{5}}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{16x^{3}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}(x^{2} + 9x + 20)^{3}} - \frac{444x^{4}}{(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{813x^{4}}{2(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{2337x^{5}}{2(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{30195x^{4}}{2(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{261x^{4}}{2(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{23127x^{4}}{4(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{11x^{3}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{3}} - \frac{3x^{9}}{(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{171x^{8}}{2(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{3x^{7}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{5}} - \frac{4275x^{7}}{4(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{61509x^{6}}{8(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{129x^{6}}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{5}} - \frac{280611x^{5}}{8(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{2337x^{5}}{4(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{5}} - \frac{841833x^{4}}{8(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{1660743x^{3}}{8(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{23127x^{4}}{8(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{5}} - \frac{3222x^{3}}{(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{2555x^{3}}{(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{48060x^{3}}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{16884x^{3}}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{2961x^{3}}{4(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{168x^{2}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}(x^{2} + 9x + 20)^{3}} + \frac{8442x^{3}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{5}} + \frac{116451x^{2}}{8(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{5}} + \frac{180063x^{2}}{2(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{11421x^{2}}{(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{7743x^{2}}{(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{16479x^{2}}{8(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{197x^{2}}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{3}} + \frac{20x^{3}}{(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{2x^{5}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{4}} - \frac{33x^{4}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{4}} + \frac{222x^{2}}{(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{8x}{(x^{2} + 9x + 20)^{2}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} + \frac{570x}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}(x^{2} + 9x + 20)^{3}} + \frac{513x}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{3}} - \frac{241x^{3}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{4}} + \frac{7x^{3}}{(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{3x^{3}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{3}} - \frac{4x}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}(x^{2} + 9x + 20)^{2}} + \frac{133x^{2}}{2(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{45x^{2}}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{3}} - \frac{2x}{(x^{2} + 9x + 20)^{2}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{1875x^{2}}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{4}} + \frac{798x}{(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{22635x}{2(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{459x}{2(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{225x}{4(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{3}} - \frac{3663x}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{4}} - \frac{22545x}{8(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{19683x}{(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} + \frac{116451x^{2}}{4(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{1038825x^{2}}{4(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{27459x}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{27459x}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{5}} - \frac{373977x}{2(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{91854x}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{x}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{2}} + \frac{927}{2(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{2916}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{4}} - \frac{23}{(x^{2} + 9x + 20)^{2}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{15}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{2}} + \frac{10935}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{5}} + \frac{39366}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{13122}{(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{4860}{(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{59049}{(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{10935}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{6075}{4(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{375}{8(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{3}} + \frac{1539}{(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{19}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}(x^{2} + 9x + 20)^{2}}\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( \frac{-24x^{5}}{(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{25x^{5}}{(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{12x^{7}}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{282x^{6}}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{6x^{7}}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{129x^{6}}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{9x^{5}}{(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{2793x^{5}}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{16x^{3}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}(x^{2} + 9x + 20)^{3}} - \frac{444x^{4}}{(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{813x^{4}}{2(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{2337x^{5}}{2(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{30195x^{4}}{2(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{261x^{4}}{2(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{23127x^{4}}{4(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{11x^{3}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{3}} - \frac{3x^{9}}{(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{171x^{8}}{2(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{3x^{7}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{5}} - \frac{4275x^{7}}{4(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{61509x^{6}}{8(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{129x^{6}}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{5}} - \frac{280611x^{5}}{8(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{2337x^{5}}{4(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{5}} - \frac{841833x^{4}}{8(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{1660743x^{3}}{8(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{23127x^{4}}{8(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{5}} - \frac{3222x^{3}}{(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{2555x^{3}}{(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{48060x^{3}}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{16884x^{3}}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{2961x^{3}}{4(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{168x^{2}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}(x^{2} + 9x + 20)^{3}} + \frac{8442x^{3}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{5}} + \frac{116451x^{2}}{8(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{5}} + \frac{180063x^{2}}{2(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{11421x^{2}}{(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{7743x^{2}}{(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{16479x^{2}}{8(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{197x^{2}}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{3}} + \frac{20x^{3}}{(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{2x^{5}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{4}} - \frac{33x^{4}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{4}} + \frac{222x^{2}}{(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{8x}{(x^{2} + 9x + 20)^{2}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} + \frac{570x}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}(x^{2} + 9x + 20)^{3}} + \frac{513x}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{3}} - \frac{241x^{3}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{4}} + \frac{7x^{3}}{(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{3x^{3}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{3}} - \frac{4x}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}(x^{2} + 9x + 20)^{2}} + \frac{133x^{2}}{2(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{45x^{2}}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{3}} - \frac{2x}{(x^{2} + 9x + 20)^{2}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{1875x^{2}}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{4}} + \frac{798x}{(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{22635x}{2(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{459x}{2(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{225x}{4(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{3}} - \frac{3663x}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{4}} - \frac{22545x}{8(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{19683x}{(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} + \frac{116451x^{2}}{4(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{1038825x^{2}}{4(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{27459x}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{27459x}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{5}} - \frac{373977x}{2(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{91854x}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{x}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{2}} + \frac{927}{2(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{2916}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{4}} - \frac{23}{(x^{2} + 9x + 20)^{2}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{15}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{2}} + \frac{10935}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{5}} + \frac{39366}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{13122}{(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{4860}{(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{59049}{(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{10935}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{6075}{4(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{375}{8(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{3}} + \frac{1539}{(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{19}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}(x^{2} + 9x + 20)^{2}}\right)}{dx}\\=&\frac{-24(\frac{-4(2x + 9 + 0)}{(x^{2} + 9x + 20)^{5}})x^{5}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{24(\frac{\frac{-1}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}})x^{5}}{(x^{2} + 9x + 20)^{4}} - \frac{24*5x^{4}}{(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{25(\frac{-4(2x + 9 + 0)}{(x^{2} + 9x + 20)^{5}})x^{5}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{25(\frac{\frac{-3}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}})x^{5}}{(x^{2} + 9x + 20)^{4}} - \frac{25*5x^{4}}{(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{12(\frac{-5(2x + 9 + 0)}{(x^{2} + 9x + 20)^{6}})x^{7}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{12(\frac{\frac{-3}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}})x^{7}}{(x^{2} + 9x + 20)^{5}} + \frac{12*7x^{6}}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{282(\frac{-5(2x + 9 + 0)}{(x^{2} + 9x + 20)^{6}})x^{6}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{282(\frac{\frac{-3}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}})x^{6}}{(x^{2} + 9x + 20)^{5}} + \frac{282*6x^{5}}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{6(\frac{-5(2x + 9 + 0)}{(x^{2} + 9x + 20)^{6}})x^{7}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{6(\frac{\frac{-5}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}})x^{7}}{(x^{2} + 9x + 20)^{5}} + \frac{6*7x^{6}}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{129(\frac{-5(2x + 9 + 0)}{(x^{2} + 9x + 20)^{6}})x^{6}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{129(\frac{\frac{-5}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}})x^{6}}{(x^{2} + 9x + 20)^{5}} + \frac{129*6x^{5}}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{9(\frac{-4(2x + 9 + 0)}{(x^{2} + 9x + 20)^{5}})x^{5}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{9(\frac{\frac{-5}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}})x^{5}}{(x^{2} + 9x + 20)^{4}} - \frac{9*5x^{4}}{(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{2793(\frac{-5(2x + 9 + 0)}{(x^{2} + 9x + 20)^{6}})x^{5}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{2793(\frac{\frac{-3}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}})x^{5}}{(x^{2} + 9x + 20)^{5}} + \frac{2793*5x^{4}}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{16(\frac{\frac{-1}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}})x^{3}}{(x^{2} + 9x + 20)^{3}} + \frac{16(\frac{-3(2x + 9 + 0)}{(x^{2} + 9x + 20)^{4}})x^{3}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} + \frac{16*3x^{2}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}(x^{2} + 9x + 20)^{3}} - \frac{444(\frac{-4(2x + 9 + 0)}{(x^{2} + 9x + 20)^{5}})x^{4}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{444(\frac{\frac{-1}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}})x^{4}}{(x^{2} + 9x + 20)^{4}} - \frac{444*4x^{3}}{(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{813(\frac{-4(2x + 9 + 0)}{(x^{2} + 9x + 20)^{5}})x^{4}}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{813(\frac{\frac{-3}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}})x^{4}}{2(x^{2} + 9x + 20)^{4}} - \frac{813*4x^{3}}{2(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{2337(\frac{-5(2x + 9 + 0)}{(x^{2} + 9x + 20)^{6}})x^{5}}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{2337(\frac{\frac{-5}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}})x^{5}}{2(x^{2} + 9x + 20)^{5}} + \frac{2337*5x^{4}}{2(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{30195(\frac{-5(2x + 9 + 0)}{(x^{2} + 9x + 20)^{6}})x^{4}}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{30195(\frac{\frac{-3}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}})x^{4}}{2(x^{2} + 9x + 20)^{5}} + \frac{30195*4x^{3}}{2(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{261(\frac{-4(2x + 9 + 0)}{(x^{2} + 9x + 20)^{5}})x^{4}}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{261(\frac{\frac{-5}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}})x^{4}}{2(x^{2} + 9x + 20)^{4}} - \frac{261*4x^{3}}{2(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{23127(\frac{-5(2x + 9 + 0)}{(x^{2} + 9x + 20)^{6}})x^{4}}{4(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{23127(\frac{\frac{-5}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}})x^{4}}{4(x^{2} + 9x + 20)^{5}} + \frac{23127*4x^{3}}{4(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{11(\frac{\frac{-3}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}})x^{3}}{(x^{2} + 9x + 20)^{3}} + \frac{11(\frac{-3(2x + 9 + 0)}{(x^{2} + 9x + 20)^{4}})x^{3}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{11*3x^{2}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{3}} - \frac{3(\frac{-6(2x + 9 + 0)}{(x^{2} + 9x + 20)^{7}})x^{9}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{3(\frac{\frac{-5}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}})x^{9}}{(x^{2} + 9x + 20)^{6}} - \frac{3*9x^{8}}{(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{171(\frac{-6(2x + 9 + 0)}{(x^{2} + 9x + 20)^{7}})x^{8}}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{171(\frac{\frac{-5}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}})x^{8}}{2(x^{2} + 9x + 20)^{6}} - \frac{171*8x^{7}}{2(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{3(\frac{\frac{-5}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}})x^{7}}{(x^{2} + 9x + 20)^{5}} + \frac{3(\frac{-5(2x + 9 + 0)}{(x^{2} + 9x + 20)^{6}})x^{7}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{3*7x^{6}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{5}} - \frac{4275(\frac{-6(2x + 9 + 0)}{(x^{2} + 9x + 20)^{7}})x^{7}}{4(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{4275(\frac{\frac{-5}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}})x^{7}}{4(x^{2} + 9x + 20)^{6}} - \frac{4275*7x^{6}}{4(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{61509(\frac{-6(2x + 9 + 0)}{(x^{2} + 9x + 20)^{7}})x^{6}}{8(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{61509(\frac{\frac{-5}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}})x^{6}}{8(x^{2} + 9x + 20)^{6}} - \frac{61509*6x^{5}}{8(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{129(\frac{\frac{-5}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}})x^{6}}{2(x^{2} + 9x + 20)^{5}} + \frac{129(\frac{-5(2x + 9 + 0)}{(x^{2} + 9x + 20)^{6}})x^{6}}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{129*6x^{5}}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{5}} - \frac{280611(\frac{-6(2x + 9 + 0)}{(x^{2} + 9x + 20)^{7}})x^{5}}{8(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{280611(\frac{\frac{-5}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}})x^{5}}{8(x^{2} + 9x + 20)^{6}} - \frac{280611*5x^{4}}{8(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{2337(\frac{\frac{-5}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}})x^{5}}{4(x^{2} + 9x + 20)^{5}} + \frac{2337(\frac{-5(2x + 9 + 0)}{(x^{2} + 9x + 20)^{6}})x^{5}}{4(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{2337*5x^{4}}{4(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{5}} - \frac{841833(\frac{-6(2x + 9 + 0)}{(x^{2} + 9x + 20)^{7}})x^{4}}{8(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{841833(\frac{\frac{-5}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}})x^{4}}{8(x^{2} + 9x + 20)^{6}} - \frac{841833*4x^{3}}{8(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{1660743(\frac{-6(2x + 9 + 0)}{(x^{2} + 9x + 20)^{7}})x^{3}}{8(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{1660743(\frac{\frac{-5}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}})x^{3}}{8(x^{2} + 9x + 20)^{6}} - \frac{1660743*3x^{2}}{8(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{23127(\frac{\frac{-5}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}})x^{4}}{8(x^{2} + 9x + 20)^{5}} + \frac{23127(\frac{-5(2x + 9 + 0)}{(x^{2} + 9x + 20)^{6}})x^{4}}{8(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{23127*4x^{3}}{8(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{5}} - \frac{3222(\frac{-4(2x + 9 + 0)}{(x^{2} + 9x + 20)^{5}})x^{3}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{3222(\frac{\frac{-1}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}})x^{3}}{(x^{2} + 9x + 20)^{4}} - \frac{3222*3x^{2}}{(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{2555(\frac{-4(2x + 9 + 0)}{(x^{2} + 9x + 20)^{5}})x^{3}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{2555(\frac{\frac{-3}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}})x^{3}}{(x^{2} + 9x + 20)^{4}} - \frac{2555*3x^{2}}{(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{48060(\frac{-5(2x + 9 + 0)}{(x^{2} + 9x + 20)^{6}})x^{3}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{48060(\frac{\frac{-3}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}})x^{3}}{(x^{2} + 9x + 20)^{5}} + \frac{48060*3x^{2}}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{16884(\frac{-5(2x + 9 + 0)}{(x^{2} + 9x + 20)^{6}})x^{3}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{16884(\frac{\frac{-5}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}})x^{3}}{(x^{2} + 9x + 20)^{5}} + \frac{16884*3x^{2}}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{2961(\frac{-4(2x + 9 + 0)}{(x^{2} + 9x + 20)^{5}})x^{3}}{4(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{2961(\frac{\frac{-5}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}})x^{3}}{4(x^{2} + 9x + 20)^{4}} - \frac{2961*3x^{2}}{4(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{168(\frac{\frac{-1}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}})x^{2}}{(x^{2} + 9x + 20)^{3}} + \frac{168(\frac{-3(2x + 9 + 0)}{(x^{2} + 9x + 20)^{4}})x^{2}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} + \frac{168*2x}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}(x^{2} + 9x + 20)^{3}} + \frac{8442(\frac{\frac{-5}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}})x^{3}}{(x^{2} + 9x + 20)^{5}} + \frac{8442(\frac{-5(2x + 9 + 0)}{(x^{2} + 9x + 20)^{6}})x^{3}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{8442*3x^{2}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{5}} + \frac{116451(\frac{\frac{-5}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}})x^{2}}{8(x^{2} + 9x + 20)^{5}} + \frac{116451(\frac{-5(2x + 9 + 0)}{(x^{2} + 9x + 20)^{6}})x^{2}}{8(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{116451*2x}{8(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{5}} + \frac{180063(\frac{-5(2x + 9 + 0)}{(x^{2} + 9x + 20)^{6}})x^{2}}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{180063(\frac{\frac{-3}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}})x^{2}}{2(x^{2} + 9x + 20)^{5}} + \frac{180063*2x}{2(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{11421(\frac{-4(2x + 9 + 0)}{(x^{2} + 9x + 20)^{5}})x^{2}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{11421(\frac{\frac{-1}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}})x^{2}}{(x^{2} + 9x + 20)^{4}} - \frac{11421*2x}{(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{7743(\frac{-4(2x + 9 + 0)}{(x^{2} + 9x + 20)^{5}})x^{2}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{7743(\frac{\frac{-3}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}})x^{2}}{(x^{2} + 9x + 20)^{4}} - \frac{7743*2x}{(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{16479(\frac{-4(2x + 9 + 0)}{(x^{2} + 9x + 20)^{5}})x^{2}}{8(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{16479(\frac{\frac{-5}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}})x^{2}}{8(x^{2} + 9x + 20)^{4}} - \frac{16479*2x}{8(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{197(\frac{\frac{-3}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}})x^{2}}{2(x^{2} + 9x + 20)^{3}} + \frac{197(\frac{-3(2x + 9 + 0)}{(x^{2} + 9x + 20)^{4}})x^{2}}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{197*2x}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{3}} + \frac{20(\frac{-3(2x + 9 + 0)}{(x^{2} + 9x + 20)^{4}})x^{3}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} + \frac{20(\frac{\frac{-1}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}})x^{3}}{(x^{2} + 9x + 20)^{3}} + \frac{20*3x^{2}}{(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{2(\frac{\frac{-3}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}})x^{5}}{(x^{2} + 9x + 20)^{4}} - \frac{2(\frac{-4(2x + 9 + 0)}{(x^{2} + 9x + 20)^{5}})x^{5}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{2*5x^{4}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{4}} - \frac{33(\frac{\frac{-3}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}})x^{4}}{(x^{2} + 9x + 20)^{4}} - \frac{33(\frac{-4(2x + 9 + 0)}{(x^{2} + 9x + 20)^{5}})x^{4}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{33*4x^{3}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{4}} + \frac{222(\frac{-3(2x + 9 + 0)}{(x^{2} + 9x + 20)^{4}})x^{2}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} + \frac{222(\frac{\frac{-1}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}})x^{2}}{(x^{2} + 9x + 20)^{3}} + \frac{222*2x}{(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{8(\frac{-2(2x + 9 + 0)}{(x^{2} + 9x + 20)^{3}})x}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{8(\frac{\frac{-1}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}})x}{(x^{2} + 9x + 20)^{2}} - \frac{8}{(x^{2} + 9x + 20)^{2}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} + \frac{570(\frac{\frac{-1}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}})x}{(x^{2} + 9x + 20)^{3}} + \frac{570(\frac{-3(2x + 9 + 0)}{(x^{2} + 9x + 20)^{4}})x}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} + \frac{570}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}(x^{2} + 9x + 20)^{3}} + \frac{513(\frac{\frac{-3}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}})x}{2(x^{2} + 9x + 20)^{3}} + \frac{513(\frac{-3(2x + 9 + 0)}{(x^{2} + 9x + 20)^{4}})x}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{513}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{3}} - \frac{241(\frac{\frac{-3}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}})x^{3}}{(x^{2} + 9x + 20)^{4}} - \frac{241(\frac{-4(2x + 9 + 0)}{(x^{2} + 9x + 20)^{5}})x^{3}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{241*3x^{2}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{4}} + \frac{7(\frac{-3(2x + 9 + 0)}{(x^{2} + 9x + 20)^{4}})x^{3}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{7(\frac{\frac{-3}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}})x^{3}}{(x^{2} + 9x + 20)^{3}} + \frac{7*3x^{2}}{(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{3(\frac{\frac{-5}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}})x^{3}}{(x^{2} + 9x + 20)^{3}} + \frac{3(\frac{-3(2x + 9 + 0)}{(x^{2} + 9x + 20)^{4}})x^{3}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{3*3x^{2}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{3}} - \frac{4(\frac{\frac{-1}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}})x}{(x^{2} + 9x + 20)^{2}} - \frac{4(\frac{-2(2x + 9 + 0)}{(x^{2} + 9x + 20)^{3}})x}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{4}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}(x^{2} + 9x + 20)^{2}} + \frac{133(\frac{-3(2x + 9 + 0)}{(x^{2} + 9x + 20)^{4}})x^{2}}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{133(\frac{\frac{-3}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}})x^{2}}{2(x^{2} + 9x + 20)^{3}} + \frac{133*2x}{2(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{45(\frac{\frac{-5}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}})x^{2}}{2(x^{2} + 9x + 20)^{3}} + \frac{45(\frac{-3(2x + 9 + 0)}{(x^{2} + 9x + 20)^{4}})x^{2}}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{45*2x}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{3}} - \frac{2(\frac{-2(2x + 9 + 0)}{(x^{2} + 9x + 20)^{3}})x}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{2(\frac{\frac{-3}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}})x}{(x^{2} + 9x + 20)^{2}} - \frac{2}{(x^{2} + 9x + 20)^{2}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{1875(\frac{\frac{-3}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}})x^{2}}{2(x^{2} + 9x + 20)^{4}} - \frac{1875(\frac{-4(2x + 9 + 0)}{(x^{2} + 9x + 20)^{5}})x^{2}}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{1875*2x}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{4}} + \frac{798(\frac{-3(2x + 9 + 0)}{(x^{2} + 9x + 20)^{4}})x}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} + \frac{798(\frac{\frac{-1}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}})x}{(x^{2} + 9x + 20)^{3}} + \frac{798}{(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{22635(\frac{-4(2x + 9 + 0)}{(x^{2} + 9x + 20)^{5}})x}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{22635(\frac{\frac{-3}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}})x}{2(x^{2} + 9x + 20)^{4}} - \frac{22635}{2(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{459(\frac{-3(2x + 9 + 0)}{(x^{2} + 9x + 20)^{4}})x}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{459(\frac{\frac{-3}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}})x}{2(x^{2} + 9x + 20)^{3}} + \frac{459}{2(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{225(\frac{\frac{-5}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}})x}{4(x^{2} + 9x + 20)^{3}} + \frac{225(\frac{-3(2x + 9 + 0)}{(x^{2} + 9x + 20)^{4}})x}{4(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{225}{4(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{3}} - \frac{3663(\frac{\frac{-3}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}})x}{2(x^{2} + 9x + 20)^{4}} - \frac{3663(\frac{-4(2x + 9 + 0)}{(x^{2} + 9x + 20)^{5}})x}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{3663}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{4}} - \frac{22545(\frac{-4(2x + 9 + 0)}{(x^{2} + 9x + 20)^{5}})x}{8(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{22545(\frac{\frac{-5}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}})x}{8(x^{2} + 9x + 20)^{4}} - \frac{22545}{8(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{19683(\frac{-4(2x + 9 + 0)}{(x^{2} + 9x + 20)^{5}})x}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{19683(\frac{\frac{-1}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}})x}{(x^{2} + 9x + 20)^{4}} - \frac{19683}{(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} + \frac{116451(\frac{-5(2x + 9 + 0)}{(x^{2} + 9x + 20)^{6}})x^{2}}{4(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{116451(\frac{\frac{-5}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}})x^{2}}{4(x^{2} + 9x + 20)^{5}} + \frac{116451*2x}{4(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{1038825(\frac{-6(2x + 9 + 0)}{(x^{2} + 9x + 20)^{7}})x^{2}}{4(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{1038825(\frac{\frac{-5}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}})x^{2}}{4(x^{2} + 9x + 20)^{6}} - \frac{1038825*2x}{4(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{27459(\frac{-5(2x + 9 + 0)}{(x^{2} + 9x + 20)^{6}})x}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{27459(\frac{\frac{-5}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}})x}{(x^{2} + 9x + 20)^{5}} + \frac{27459}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{27459(\frac{\frac{-5}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}})x}{2(x^{2} + 9x + 20)^{5}} + \frac{27459(\frac{-5(2x + 9 + 0)}{(x^{2} + 9x + 20)^{6}})x}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{27459}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{5}} - \frac{373977(\frac{-6(2x + 9 + 0)}{(x^{2} + 9x + 20)^{7}})x}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{373977(\frac{\frac{-5}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}})x}{2(x^{2} + 9x + 20)^{6}} - \frac{373977}{2(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{91854(\frac{-5(2x + 9 + 0)}{(x^{2} + 9x + 20)^{6}})x}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{91854(\frac{\frac{-3}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}})x}{(x^{2} + 9x + 20)^{5}} + \frac{91854}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{(\frac{\frac{-3}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}})x}{(x^{2} + 9x + 20)^{2}} - \frac{(\frac{-2(2x + 9 + 0)}{(x^{2} + 9x + 20)^{3}})x}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{1}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{2}} + \frac{927(\frac{-3(2x + 9 + 0)}{(x^{2} + 9x + 20)^{4}})}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{927(\frac{\frac{-3}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}})}{2(x^{2} + 9x + 20)^{3}} - \frac{2916(\frac{\frac{-3}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}})}{(x^{2} + 9x + 20)^{4}} - \frac{2916(\frac{-4(2x + 9 + 0)}{(x^{2} + 9x + 20)^{5}})}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{23(\frac{-2(2x + 9 + 0)}{(x^{2} + 9x + 20)^{3}})}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{23(\frac{\frac{-1}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}})}{(x^{2} + 9x + 20)^{2}} - \frac{15(\frac{\frac{-3}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}})}{2(x^{2} + 9x + 20)^{2}} - \frac{15(\frac{-2(2x + 9 + 0)}{(x^{2} + 9x + 20)^{3}})}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{10935(\frac{\frac{-5}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}})}{2(x^{2} + 9x + 20)^{5}} + \frac{10935(\frac{-5(2x + 9 + 0)}{(x^{2} + 9x + 20)^{6}})}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{39366(\frac{-5(2x + 9 + 0)}{(x^{2} + 9x + 20)^{6}})}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{39366(\frac{\frac{-3}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}})}{(x^{2} + 9x + 20)^{5}} - \frac{13122(\frac{-4(2x + 9 + 0)}{(x^{2} + 9x + 20)^{5}})}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{13122(\frac{\frac{-1}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}})}{(x^{2} + 9x + 20)^{4}} - \frac{4860(\frac{-4(2x + 9 + 0)}{(x^{2} + 9x + 20)^{5}})}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{4860(\frac{\frac{-3}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}})}{(x^{2} + 9x + 20)^{4}} - \frac{59049(\frac{-6(2x + 9 + 0)}{(x^{2} + 9x + 20)^{7}})}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{59049(\frac{\frac{-5}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}})}{(x^{2} + 9x + 20)^{6}} + \frac{10935(\frac{-5(2x + 9 + 0)}{(x^{2} + 9x + 20)^{6}})}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{10935(\frac{\frac{-5}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}})}{(x^{2} + 9x + 20)^{5}} - \frac{6075(\frac{-4(2x + 9 + 0)}{(x^{2} + 9x + 20)^{5}})}{4(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{6075(\frac{\frac{-5}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}})}{4(x^{2} + 9x + 20)^{4}} + \frac{375(\frac{\frac{-5}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}})}{8(x^{2} + 9x + 20)^{3}} + \frac{375(\frac{-3(2x + 9 + 0)}{(x^{2} + 9x + 20)^{4}})}{8(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{1539(\frac{-3(2x + 9 + 0)}{(x^{2} + 9x + 20)^{4}})}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} + \frac{1539(\frac{\frac{-1}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}})}{(x^{2} + 9x + 20)^{3}} - \frac{19(\frac{\frac{-1}{2}((\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x^{2} + \frac{2x}{(x^{2} + 9x + 20)} + 5(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}})x + \frac{5}{(x^{2} + 9x + 20)} + 6(\frac{-(2x + 9 + 0)}{(x^{2} + 9x + 20)^{2}}))}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}})}{(x^{2} + 9x + 20)^{2}} - \frac{19(\frac{-2(2x + 9 + 0)}{(x^{2} + 9x + 20)^{3}})}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}}\\=&\frac{192x^{6}}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} + \frac{276x^{6}}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{144x^{8}}{(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{4032x^{7}}{(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{207x^{8}}{(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{5364x^{7}}{(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{222x^{6}}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{75x^{8}}{(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}} - \frac{1800x^{7}}{(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}} - \frac{120x^{4}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}(x^{2} + 9x + 20)^{4}} + \frac{60x^{6}}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}} - \frac{48744x^{6}}{(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{4416x^{5}}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{239805x^{6}}{4(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{5724x^{5}}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{37275x^{6}}{2(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}} - \frac{149x^{4}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{4}} + \frac{72x^{10}}{(x^{2} + 9x + 20)^{7}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{2376x^{9}}{(x^{2} + 9x + 20)^{7}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{34884x^{8}}{(x^{2} + 9x + 20)^{7}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{45x^{10}}{(x^{2} + 9x + 20)^{7}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}} + \frac{1395x^{9}}{(x^{2} + 9x + 20)^{7}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}} + \frac{84x^{6}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{5}} + \frac{38475x^{8}}{2(x^{2} + 9x + 20)^{7}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}} + \frac{299952x^{7}}{(x^{2} + 9x + 20)^{7}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{310815x^{7}}{2(x^{2} + 9x + 20)^{7}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}} + \frac{1692x^{5}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{5}} + \frac{3344409x^{6}}{2(x^{2} + 9x + 20)^{7}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{13031505x^{6}}{16(x^{2} + 9x + 20)^{7}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}} + \frac{48x^{6}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{5}} - \frac{331992x^{5}}{(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{1509327x^{5}}{4(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{217575x^{5}}{2(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}} + \frac{888x^{5}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{5}} + \frac{4170x^{5}}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{1020x^{5}}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}} - \frac{84x^{4}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{4}} + \frac{12627495x^{5}}{2(x^{2} + 9x + 20)^{7}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{15x^{8}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}(x^{2} + 9x + 20)^{6}} + \frac{46300815x^{5}}{16(x^{2} + 9x + 20)^{7}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}} - \frac{360x^{7}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}(x^{2} + 9x + 20)^{6}} + \frac{13965x^{4}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{5}} - \frac{216x^{4}}{(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} + \frac{48621x^{4}}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{142x^{4}}{(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{96x^{2}}{(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} + \frac{41760x^{4}}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{1391985x^{4}}{(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{11699505x^{4}}{8(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{63909x^{4}}{2(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{6267675x^{4}}{16(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}} - \frac{1776x^{3}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}(x^{2} + 9x + 20)^{4}} + \frac{7110x^{4}}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}} + \frac{207360x^{3}}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} + \frac{216198x^{3}}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{1933x^{3}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{4}} + \frac{112959765x^{4}}{16(x^{2} + 9x + 20)^{7}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}} - \frac{7455x^{6}}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}(x^{2} + 9x + 20)^{6}} + \frac{32693949x^{4}}{2(x^{2} + 9x + 20)^{7}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{43515x^{5}}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}(x^{2} + 9x + 20)^{6}} + \frac{186885225x^{3}}{16(x^{2} + 9x + 20)^{7}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}} + \frac{6813x^{4}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{5}} + \frac{57305961x^{3}}{2(x^{2} + 9x + 20)^{7}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{60390x^{3}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{5}} + \frac{127890x^{3}}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{3573639x^{3}}{(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{26070x^{3}}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}} - \frac{3675618x^{3}}{(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{957x^{3}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{4}} - \frac{1253535x^{4}}{16(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}(x^{2} + 9x + 20)^{6}} - \frac{1426455x^{3}}{8(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}(x^{2} + 9x + 20)^{6}} + \frac{27747x^{3}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{5}} - \frac{3312x^{3}}{(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{1937x^{3}}{(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{53x^{2}}{(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{15x^{12}}{(x^{2} + 9x + 20)^{8}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}} - \frac{570x^{11}}{(x^{2} + 9x + 20)^{8}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}} + \frac{15x^{10}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}(x^{2} + 9x + 20)^{7}} - \frac{19665x^{10}}{2(x^{2} + 9x + 20)^{8}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}} + \frac{465x^{9}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}(x^{2} + 9x + 20)^{7}} - \frac{203595x^{9}}{2(x^{2} + 9x + 20)^{8}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}} - \frac{27x^{8}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{6}} - \frac{11270895x^{8}}{16(x^{2} + 9x + 20)^{8}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}} + \frac{12825x^{8}}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}(x^{2} + 9x + 20)^{7}} - \frac{13728735x^{7}}{4(x^{2} + 9x + 20)^{8}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}} + \frac{103605x^{7}}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}(x^{2} + 9x + 20)^{7}} - \frac{96581565x^{6}}{8(x^{2} + 9x + 20)^{8}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}} - \frac{684x^{7}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{6}} - \frac{20048175x^{2}}{16(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}} - \frac{123558615x^{5}}{4(x^{2} + 9x + 20)^{8}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}} + \frac{4343835x^{6}}{16(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}(x^{2} + 9x + 20)^{7}} - \frac{912942495x^{4}}{16(x^{2} + 9x + 20)^{8}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}} + \frac{15433605x^{5}}{16(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}(x^{2} + 9x + 20)^{7}} - \frac{148420755x^{3}}{2(x^{2} + 9x + 20)^{8}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}} - \frac{29925x^{6}}{4(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{6}} - \frac{43014159x^{2}}{8(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{5963949x^{2}}{(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{37653255x^{4}}{16(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}(x^{2} + 9x + 20)^{7}} + \frac{62295075x^{3}}{16(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}(x^{2} + 9x + 20)^{7}} - \frac{184527x^{5}}{4(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{6}} - \frac{7132275x^{3}}{8(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}} + \frac{32535999x^{2}}{(x^{2} + 9x + 20)^{7}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{33450165x^{2}}{8(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}(x^{2} + 9x + 20)^{7}} - \frac{1403055x^{4}}{8(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{6}} - \frac{4009635x^{2}}{16(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}(x^{2} + 9x + 20)^{6}} - \frac{841833x^{3}}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{6}} - \frac{4982229x^{2}}{8(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{6}} - \frac{9666x^{2}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}(x^{2} + 9x + 20)^{4}} - \frac{18203x^{2}}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{4}} + \frac{144180x^{2}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{5}} + \frac{252711x^{2}}{4(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{5}} + \frac{568620x^{2}}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} + \frac{530064x^{2}}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{1128717x^{2}}{4(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{3900x^{2}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{4}} + \frac{720x}{(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} + \frac{100350495x^{2}}{8(x^{2} + 9x + 20)^{7}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}} + \frac{1284687x}{4(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{180063x}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{5}} + \frac{212475x^{2}}{4(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}} - \frac{22842x}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}(x^{2} + 9x + 20)^{4}} - \frac{35565x}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{4}} - \frac{12411x}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{4}} - \frac{18738x^{2}}{(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{19483x^{2}}{2(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{324x}{(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{42x^{4}}{(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{15x^{4}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}(x^{2} + 9x + 20)^{4}} + \frac{60x^{2}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}(x^{2} + 9x + 20)^{3}} - \frac{519x^{3}}{(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{150x^{3}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}(x^{2} + 9x + 20)^{4}} + \frac{444x}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}(x^{2} + 9x + 20)^{3}} + \frac{25x^{2}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{3}} - \frac{4863x^{2}}{2(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{1125x^{2}}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}(x^{2} + 9x + 20)^{4}} - \frac{43923x}{2(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{15x^{2}}{(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{162x}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{3}} + \frac{60x}{(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{3x^{2}}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{3}} + \frac{322839x}{4(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{5}} - \frac{46170x}{(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} + \frac{813564x}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} + \frac{678699x}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{5634x}{(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{9108855x}{2(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{1875x}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}(x^{2} + 9x + 20)^{4}} + \frac{228375x}{4(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}} - \frac{3979125x}{4(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}} - \frac{5432508x}{(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{21611934x}{(x^{2} + 9x + 20)^{7}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{30x}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{3}} - \frac{129022065x^{2}}{2(x^{2} + 9x + 20)^{8}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}} - \frac{1038825x}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{6}} - \frac{795825x}{4(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}(x^{2} + 9x + 20)^{6}} + \frac{31591215x}{4(x^{2} + 9x + 20)^{7}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}} + \frac{10530405x}{4(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}(x^{2} + 9x + 20)^{7}} - \frac{33657930x}{(x^{2} + 9x + 20)^{8}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}} + \frac{71199}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{5}} + \frac{312255}{2(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} - \frac{61236}{(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{56385}{2(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{446148}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{4905}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{4}} - \frac{16335}{2(x^{2} + 9x + 20)^{4}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{570}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}(x^{2} + 9x + 20)^{3}} - \frac{273375}{4(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}(x^{2} + 9x + 20)^{6}} - \frac{1850202}{(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{304}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{3}} - \frac{1366875}{4(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}} + \frac{472392}{(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} + \frac{4428675}{2(x^{2} + 9x + 20)^{7}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}} + \frac{6377292}{(x^{2} + 9x + 20)^{7}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}} + \frac{50625}{2(x^{2} + 9x + 20)^{5}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}} - \frac{9375}{16(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}(x^{2} + 9x + 20)^{4}} - \frac{2125764}{(x^{2} + 9x + 20)^{6}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} + \frac{1554}{(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} + \frac{225}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{5}{2}}(x^{2} + 9x + 20)^{3}} + \frac{422}{(x^{2} + 9x + 20)^{3}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}} - \frac{1}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}(x^{2} + 9x + 20)^{2}} + \frac{1476225}{2(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}(x^{2} + 9x + 20)^{7}} - \frac{7971615}{(x^{2} + 9x + 20)^{8}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{7}{2}}} - \frac{8}{(x^{2} + 9x + 20)^{2}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}} - \frac{4}{(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{1}{2}}(x^{2} + 9x + 20)^{2}} - \frac{2}{(x^{2} + 9x + 20)^{2}(\frac{x^{2}}{(x^{2} + 9x + 20)} + \frac{5x}{(x^{2} + 9x + 20)} + \frac{6}{(x^{2} + 9x + 20)})^{\frac{3}{2}}}\\ \end{split}\end{equation} \]





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