Derivative function：
Enter an original function (that is, the function to be derived), then set the variable to be derived and the order of the derivative, and click the "Next" button to obtain the derivative function of the corresponding order of the function.
Note that the input function supports mathematical functions and other constants.
Enter an original function (that is, the function to be derived), then set the variable to be derived and the order of the derivative, and click the "Next" button to obtain the derivative function of the corresponding order of the function.
Note that the input function supports mathematical functions and other constants.
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.
Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ {(x + sqrt({x}^{2} + 1))}^{x}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = (x + sqrt(x^{2} + 1))^{x}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( (x + sqrt(x^{2} + 1))^{x}\right)}{dx}\\=&((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))\\=&(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1)) + \frac{x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))} + \frac{x(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( (x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1)) + \frac{x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))} + \frac{x(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))}\right)}{dx}\\=&((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))ln(x + sqrt(x^{2} + 1)) + \frac{(x + sqrt(x^{2} + 1))^{x}(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))} + \frac{(\frac{\frac{-1}{2}(2x + 0)}{(x^{2} + 1)^{\frac{3}{2}}})x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))} + \frac{(\frac{-(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{2}})x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{1}{2}}} + \frac{2x(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))} + \frac{x^{2}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))} + (\frac{-(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{2}})x(x + sqrt(x^{2} + 1))^{x} + \frac{(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))} + \frac{x((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))}{(x + sqrt(x^{2} + 1))}\\=&(x + sqrt(x^{2} + 1))^{x}ln^{2}(x + sqrt(x^{2} + 1)) + \frac{x^{2}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))} + \frac{2x(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))} + \frac{2(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))} + \frac{x^{2}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))(x^{2} + 1)^{\frac{1}{2}}} - \frac{x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{3}{2}}(x + sqrt(x^{2} + 1))} - \frac{x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)} - \frac{2x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{\frac{1}{2}}} + \frac{3x(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))(x^{2} + 1)^{\frac{1}{2}}} + \frac{x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)(x + sqrt(x^{2} + 1))^{2}} + \frac{x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))^{2}} - \frac{x(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}} + \frac{x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{\frac{1}{2}}} + \frac{x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}}\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( (x + sqrt(x^{2} + 1))^{x}ln^{2}(x + sqrt(x^{2} + 1)) + \frac{x^{2}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))} + \frac{2x(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))} + \frac{2(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))} + \frac{x^{2}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))(x^{2} + 1)^{\frac{1}{2}}} - \frac{x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{3}{2}}(x + sqrt(x^{2} + 1))} - \frac{x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)} - \frac{2x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{\frac{1}{2}}} + \frac{3x(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))(x^{2} + 1)^{\frac{1}{2}}} + \frac{x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)(x + sqrt(x^{2} + 1))^{2}} + \frac{x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))^{2}} - \frac{x(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}} + \frac{x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{\frac{1}{2}}} + \frac{x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}}\right)}{dx}\\=&((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))ln^{2}(x + sqrt(x^{2} + 1)) + \frac{(x + sqrt(x^{2} + 1))^{x}*2ln(x + sqrt(x^{2} + 1))(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))} + \frac{(\frac{\frac{-1}{2}(2x + 0)}{(x^{2} + 1)^{\frac{3}{2}}})x^{2}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))} + \frac{(\frac{-(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{2}})x^{2}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x^{2} + 1)^{\frac{1}{2}}} + \frac{2x(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))} + \frac{x^{2}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))ln(x + sqrt(x^{2} + 1))}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))} + \frac{x^{2}(x + sqrt(x^{2} + 1))^{x}(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))(x + sqrt(x^{2} + 1))} + 2(\frac{-(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{2}})x(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1)) + \frac{2(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))} + \frac{2x((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))} + \frac{2x(x + sqrt(x^{2} + 1))^{x}(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))(x + sqrt(x^{2} + 1))} + 2(\frac{-(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{2}})(x + sqrt(x^{2} + 1))^{x} + \frac{2((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))}{(x + sqrt(x^{2} + 1))} + \frac{(\frac{-(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{2}})x^{2}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x^{2} + 1)^{\frac{1}{2}}} + \frac{(\frac{\frac{-1}{2}(2x + 0)}{(x^{2} + 1)^{\frac{3}{2}}})x^{2}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))} + \frac{2x(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))(x^{2} + 1)^{\frac{1}{2}}} + \frac{x^{2}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))(x^{2} + 1)^{\frac{1}{2}}} + \frac{x^{2}(x + sqrt(x^{2} + 1))^{x}(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))} - \frac{(\frac{\frac{-3}{2}(2x + 0)}{(x^{2} + 1)^{\frac{5}{2}}})x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))} - \frac{(\frac{-(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{2}})x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{3}{2}}} - \frac{3x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{3}{2}}(x + sqrt(x^{2} + 1))} - \frac{x^{3}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))}{(x^{2} + 1)^{\frac{3}{2}}(x + sqrt(x^{2} + 1))} - \frac{(\frac{-2(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{3}})x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)} - \frac{(\frac{-(2x + 0)}{(x^{2} + 1)^{2}})x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}} - \frac{3x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)} - \frac{x^{3}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)} - \frac{2(\frac{-2(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{3}})x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{1}{2}}} - \frac{2(\frac{\frac{-1}{2}(2x + 0)}{(x^{2} + 1)^{\frac{3}{2}}})x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}} - \frac{2*2x(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{\frac{1}{2}}} - \frac{2x^{2}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{\frac{1}{2}}} + \frac{3(\frac{-(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{2}})x(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{1}{2}}} + \frac{3(\frac{\frac{-1}{2}(2x + 0)}{(x^{2} + 1)^{\frac{3}{2}}})x(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))} + \frac{3(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))(x^{2} + 1)^{\frac{1}{2}}} + \frac{3x((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))}{(x + sqrt(x^{2} + 1))(x^{2} + 1)^{\frac{1}{2}}} + \frac{(\frac{-(2x + 0)}{(x^{2} + 1)^{2}})x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}} + \frac{(\frac{-2(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{3}})x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)} + \frac{4x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)(x + sqrt(x^{2} + 1))^{2}} + \frac{x^{4}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))}{(x^{2} + 1)(x + sqrt(x^{2} + 1))^{2}} + \frac{(\frac{\frac{-1}{2}(2x + 0)}{(x^{2} + 1)^{\frac{3}{2}}})x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}} + \frac{(\frac{-2(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{3}})x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{1}{2}}} + \frac{3x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))^{2}} + \frac{x^{3}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))^{2}} - (\frac{-2(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{3}})x(x + sqrt(x^{2} + 1))^{x} - \frac{(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}} - \frac{x((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))}{(x + sqrt(x^{2} + 1))^{2}} + \frac{(\frac{-2(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{3}})x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{1}{2}}} + \frac{(\frac{\frac{-1}{2}(2x + 0)}{(x^{2} + 1)^{\frac{3}{2}}})x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}} + \frac{3x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{\frac{1}{2}}} + \frac{x^{3}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{\frac{1}{2}}} + (\frac{-2(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{3}})x^{2}(x + sqrt(x^{2} + 1))^{x} + \frac{2x(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}} + \frac{x^{2}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))}{(x + sqrt(x^{2} + 1))^{2}}\\=&(x + sqrt(x^{2} + 1))^{x}ln^{3}(x + sqrt(x^{2} + 1)) + \frac{2x^{2}(x + sqrt(x^{2} + 1))^{x}ln^{2}(x + sqrt(x^{2} + 1))}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))} + \frac{3x(x + sqrt(x^{2} + 1))^{x}ln^{2}(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))} + \frac{6(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))} + \frac{4x(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))(x^{2} + 1)^{\frac{1}{2}}} - \frac{x^{3}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x^{2} + 1)^{\frac{3}{2}}(x + sqrt(x^{2} + 1))} - \frac{3x^{3}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)} - \frac{6x^{2}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{\frac{1}{2}}} + \frac{x^{2}(x + sqrt(x^{2} + 1))^{x}ln^{2}(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))(x^{2} + 1)^{\frac{1}{2}}} + \frac{x^{4}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x^{2} + 1)(x + sqrt(x^{2} + 1))^{2}} + \frac{x^{3}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))^{2}} + \frac{5x^{3}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{\frac{1}{2}}} + \frac{5x(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))} + \frac{3x^{2}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{2}} - \frac{2x^{3}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))(x^{2} + 1)^{\frac{3}{2}}} + \frac{2x^{4}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)} - \frac{3(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}} - \frac{3x(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{2}} + \frac{8x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)} + \frac{6x(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}} + \frac{11x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{\frac{1}{2}}} + \frac{4x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))^{2}} + \frac{x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)(x + sqrt(x^{2} + 1))^{2}} + \frac{3x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{5}{2}}(x + sqrt(x^{2} + 1))} + \frac{3x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{2}} - \frac{6x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))(x^{2} + 1)^{\frac{3}{2}}} - \frac{3x^{5}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{2}(x + sqrt(x^{2} + 1))^{2}} - \frac{2x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{3}{2}}(x + sqrt(x^{2} + 1))^{2}} + \frac{2x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)^{\frac{3}{2}}} + \frac{6x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)} - \frac{3x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)(x + sqrt(x^{2} + 1))^{2}} - \frac{x^{5}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{3}{2}}(x + sqrt(x^{2} + 1))^{3}} - \frac{3x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)(x + sqrt(x^{2} + 1))^{3}} + \frac{6x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)^{\frac{1}{2}}} + \frac{3x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{\frac{3}{2}}} - \frac{4x(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))^{2}} - \frac{2x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))^{3}} - \frac{3x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)} + \frac{3(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))(x^{2} + 1)^{\frac{1}{2}}} - \frac{2x^{5}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)^{\frac{3}{2}}} - \frac{6x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)} - \frac{5x(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{\frac{1}{2}}} + \frac{x^{6}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)^{\frac{3}{2}}} + \frac{2x^{5}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)} - \frac{7x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)^{\frac{1}{2}}} + \frac{2x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)^{\frac{1}{2}}} + \frac{2x(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}} - \frac{3x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}} - \frac{x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{\frac{3}{2}}} + \frac{x^{5}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)(x + sqrt(x^{2} + 1))^{3}} + \frac{x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))^{3}} + \frac{x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}}\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( (x + sqrt(x^{2} + 1))^{x}ln^{3}(x + sqrt(x^{2} + 1)) + \frac{2x^{2}(x + sqrt(x^{2} + 1))^{x}ln^{2}(x + sqrt(x^{2} + 1))}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))} + \frac{3x(x + sqrt(x^{2} + 1))^{x}ln^{2}(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))} + \frac{6(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))} + \frac{4x(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))(x^{2} + 1)^{\frac{1}{2}}} - \frac{x^{3}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x^{2} + 1)^{\frac{3}{2}}(x + sqrt(x^{2} + 1))} - \frac{3x^{3}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)} - \frac{6x^{2}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{\frac{1}{2}}} + \frac{x^{2}(x + sqrt(x^{2} + 1))^{x}ln^{2}(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))(x^{2} + 1)^{\frac{1}{2}}} + \frac{x^{4}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x^{2} + 1)(x + sqrt(x^{2} + 1))^{2}} + \frac{x^{3}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))^{2}} + \frac{5x^{3}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{\frac{1}{2}}} + \frac{5x(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))} + \frac{3x^{2}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{2}} - \frac{2x^{3}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))(x^{2} + 1)^{\frac{3}{2}}} + \frac{2x^{4}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)} - \frac{3(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}} - \frac{3x(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{2}} + \frac{8x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)} + \frac{6x(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}} + \frac{11x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{\frac{1}{2}}} + \frac{4x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))^{2}} + \frac{x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)(x + sqrt(x^{2} + 1))^{2}} + \frac{3x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{5}{2}}(x + sqrt(x^{2} + 1))} + \frac{3x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{2}} - \frac{6x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))(x^{2} + 1)^{\frac{3}{2}}} - \frac{3x^{5}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{2}(x + sqrt(x^{2} + 1))^{2}} - \frac{2x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{3}{2}}(x + sqrt(x^{2} + 1))^{2}} + \frac{2x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)^{\frac{3}{2}}} + \frac{6x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)} - \frac{3x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)(x + sqrt(x^{2} + 1))^{2}} - \frac{x^{5}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{3}{2}}(x + sqrt(x^{2} + 1))^{3}} - \frac{3x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)(x + sqrt(x^{2} + 1))^{3}} + \frac{6x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)^{\frac{1}{2}}} + \frac{3x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{\frac{3}{2}}} - \frac{4x(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))^{2}} - \frac{2x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))^{3}} - \frac{3x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)} + \frac{3(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))(x^{2} + 1)^{\frac{1}{2}}} - \frac{2x^{5}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)^{\frac{3}{2}}} - \frac{6x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)} - \frac{5x(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{\frac{1}{2}}} + \frac{x^{6}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)^{\frac{3}{2}}} + \frac{2x^{5}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)} - \frac{7x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)^{\frac{1}{2}}} + \frac{2x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)^{\frac{1}{2}}} + \frac{2x(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}} - \frac{3x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}} - \frac{x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{\frac{3}{2}}} + \frac{x^{5}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)(x + sqrt(x^{2} + 1))^{3}} + \frac{x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))^{3}} + \frac{x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}}\right)}{dx}\\=&((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))ln^{3}(x + sqrt(x^{2} + 1)) + \frac{(x + sqrt(x^{2} + 1))^{x}*3ln^{2}(x + sqrt(x^{2} + 1))(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))} + \frac{2(\frac{\frac{-1}{2}(2x + 0)}{(x^{2} + 1)^{\frac{3}{2}}})x^{2}(x + sqrt(x^{2} + 1))^{x}ln^{2}(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))} + \frac{2(\frac{-(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{2}})x^{2}(x + sqrt(x^{2} + 1))^{x}ln^{2}(x + sqrt(x^{2} + 1))}{(x^{2} + 1)^{\frac{1}{2}}} + \frac{2*2x(x + sqrt(x^{2} + 1))^{x}ln^{2}(x + sqrt(x^{2} + 1))}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))} + \frac{2x^{2}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))ln^{2}(x + sqrt(x^{2} + 1))}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))} + \frac{2x^{2}(x + sqrt(x^{2} + 1))^{x}*2ln(x + sqrt(x^{2} + 1))(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))(x + sqrt(x^{2} + 1))} + 3(\frac{-(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{2}})x(x + sqrt(x^{2} + 1))^{x}ln^{2}(x + sqrt(x^{2} + 1)) + \frac{3(x + sqrt(x^{2} + 1))^{x}ln^{2}(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))} + \frac{3x((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))ln^{2}(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))} + \frac{3x(x + sqrt(x^{2} + 1))^{x}*2ln(x + sqrt(x^{2} + 1))(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))(x + sqrt(x^{2} + 1))} + 6(\frac{-(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{2}})(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1)) + \frac{6((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))} + \frac{6(x + sqrt(x^{2} + 1))^{x}(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))(x + sqrt(x^{2} + 1))} + \frac{4(\frac{-(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{2}})x(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x^{2} + 1)^{\frac{1}{2}}} + \frac{4(\frac{\frac{-1}{2}(2x + 0)}{(x^{2} + 1)^{\frac{3}{2}}})x(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))} + \frac{4(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))(x^{2} + 1)^{\frac{1}{2}}} + \frac{4x((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))(x^{2} + 1)^{\frac{1}{2}}} + \frac{4x(x + sqrt(x^{2} + 1))^{x}(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))} - \frac{(\frac{\frac{-3}{2}(2x + 0)}{(x^{2} + 1)^{\frac{5}{2}}})x^{3}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))} - \frac{(\frac{-(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{2}})x^{3}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x^{2} + 1)^{\frac{3}{2}}} - \frac{3x^{2}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x^{2} + 1)^{\frac{3}{2}}(x + sqrt(x^{2} + 1))} - \frac{x^{3}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))ln(x + sqrt(x^{2} + 1))}{(x^{2} + 1)^{\frac{3}{2}}(x + sqrt(x^{2} + 1))} - \frac{x^{3}(x + sqrt(x^{2} + 1))^{x}(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x^{2} + 1)^{\frac{3}{2}}(x + sqrt(x^{2} + 1))(x + sqrt(x^{2} + 1))} - \frac{3(\frac{-2(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{3}})x^{3}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x^{2} + 1)} - \frac{3(\frac{-(2x + 0)}{(x^{2} + 1)^{2}})x^{3}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{2}} - \frac{3*3x^{2}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)} - \frac{3x^{3}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)} - \frac{3x^{3}(x + sqrt(x^{2} + 1))^{x}(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)(x + sqrt(x^{2} + 1))} - \frac{6(\frac{-2(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{3}})x^{2}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x^{2} + 1)^{\frac{1}{2}}} - \frac{6(\frac{\frac{-1}{2}(2x + 0)}{(x^{2} + 1)^{\frac{3}{2}}})x^{2}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{2}} - \frac{6*2x(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{\frac{1}{2}}} - \frac{6x^{2}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{\frac{1}{2}}} - \frac{6x^{2}(x + sqrt(x^{2} + 1))^{x}(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))} + \frac{(\frac{-(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{2}})x^{2}(x + sqrt(x^{2} + 1))^{x}ln^{2}(x + sqrt(x^{2} + 1))}{(x^{2} + 1)^{\frac{1}{2}}} + \frac{(\frac{\frac{-1}{2}(2x + 0)}{(x^{2} + 1)^{\frac{3}{2}}})x^{2}(x + sqrt(x^{2} + 1))^{x}ln^{2}(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))} + \frac{2x(x + sqrt(x^{2} + 1))^{x}ln^{2}(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))(x^{2} + 1)^{\frac{1}{2}}} + \frac{x^{2}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))ln^{2}(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))(x^{2} + 1)^{\frac{1}{2}}} + \frac{x^{2}(x + sqrt(x^{2} + 1))^{x}*2ln(x + sqrt(x^{2} + 1))(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))} + \frac{(\frac{-(2x + 0)}{(x^{2} + 1)^{2}})x^{4}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{2}} + \frac{(\frac{-2(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{3}})x^{4}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x^{2} + 1)} + \frac{4x^{3}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x^{2} + 1)(x + sqrt(x^{2} + 1))^{2}} + \frac{x^{4}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))ln(x + sqrt(x^{2} + 1))}{(x^{2} + 1)(x + sqrt(x^{2} + 1))^{2}} + \frac{x^{4}(x + sqrt(x^{2} + 1))^{x}(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x^{2} + 1)(x + sqrt(x^{2} + 1))^{2}(x + sqrt(x^{2} + 1))} + \frac{(\frac{\frac{-1}{2}(2x + 0)}{(x^{2} + 1)^{\frac{3}{2}}})x^{3}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{2}} + \frac{(\frac{-2(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{3}})x^{3}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x^{2} + 1)^{\frac{1}{2}}} + \frac{3x^{2}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))^{2}} + \frac{x^{3}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))ln(x + sqrt(x^{2} + 1))}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))^{2}} + \frac{x^{3}(x + sqrt(x^{2} + 1))^{x}(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))^{2}(x + sqrt(x^{2} + 1))} + \frac{5(\frac{-2(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{3}})x^{3}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x^{2} + 1)^{\frac{1}{2}}} + \frac{5(\frac{\frac{-1}{2}(2x + 0)}{(x^{2} + 1)^{\frac{3}{2}}})x^{3}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{2}} + \frac{5*3x^{2}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{\frac{1}{2}}} + \frac{5x^{3}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{\frac{1}{2}}} + \frac{5x^{3}(x + sqrt(x^{2} + 1))^{x}(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))} + \frac{5(\frac{\frac{-1}{2}(2x + 0)}{(x^{2} + 1)^{\frac{3}{2}}})x(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))} + \frac{5(\frac{-(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{2}})x(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x^{2} + 1)^{\frac{1}{2}}} + \frac{5(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))} + \frac{5x((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))ln(x + sqrt(x^{2} + 1))}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))} + \frac{5x(x + sqrt(x^{2} + 1))^{x}(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))(x + sqrt(x^{2} + 1))} + 3(\frac{-2(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{3}})x^{2}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1)) + \frac{3*2x(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{2}} + \frac{3x^{2}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{2}} + \frac{3x^{2}(x + sqrt(x^{2} + 1))^{x}(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{2}(x + sqrt(x^{2} + 1))} - \frac{2(\frac{-(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{2}})x^{3}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x^{2} + 1)^{\frac{3}{2}}} - \frac{2(\frac{\frac{-3}{2}(2x + 0)}{(x^{2} + 1)^{\frac{5}{2}}})x^{3}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))} - \frac{2*3x^{2}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))(x^{2} + 1)^{\frac{3}{2}}} - \frac{2x^{3}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))(x^{2} + 1)^{\frac{3}{2}}} - \frac{2x^{3}(x + sqrt(x^{2} + 1))^{x}(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))(x^{2} + 1)^{\frac{3}{2}}(x + sqrt(x^{2} + 1))} + \frac{2(\frac{-2(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{3}})x^{4}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x^{2} + 1)} + \frac{2(\frac{-(2x + 0)}{(x^{2} + 1)^{2}})x^{4}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{2}} + \frac{2*4x^{3}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)} + \frac{2x^{4}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)} + \frac{2x^{4}(x + sqrt(x^{2} + 1))^{x}(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)(x + sqrt(x^{2} + 1))} - 3(\frac{-2(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{3}})(x + sqrt(x^{2} + 1))^{x} - \frac{3((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))}{(x + sqrt(x^{2} + 1))^{2}} - 3(\frac{-2(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{3}})x(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1)) - \frac{3(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{2}} - \frac{3x((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{2}} - \frac{3x(x + sqrt(x^{2} + 1))^{x}(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{2}(x + sqrt(x^{2} + 1))} + \frac{8(\frac{-2(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{3}})x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)} + \frac{8(\frac{-(2x + 0)}{(x^{2} + 1)^{2}})x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}} + \frac{8*3x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)} + \frac{8x^{3}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)} + 6(\frac{-2(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{3}})x(x + sqrt(x^{2} + 1))^{x} + \frac{6(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}} + \frac{6x((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))}{(x + sqrt(x^{2} + 1))^{2}} + \frac{11(\frac{-2(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{3}})x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{1}{2}}} + \frac{11(\frac{\frac{-1}{2}(2x + 0)}{(x^{2} + 1)^{\frac{3}{2}}})x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}} + \frac{11*2x(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{\frac{1}{2}}} + \frac{11x^{2}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{\frac{1}{2}}} + \frac{4(\frac{\frac{-1}{2}(2x + 0)}{(x^{2} + 1)^{\frac{3}{2}}})x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}} + \frac{4(\frac{-2(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{3}})x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{1}{2}}} + \frac{4*2x(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))^{2}} + \frac{4x^{2}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))^{2}} + \frac{(\frac{-(2x + 0)}{(x^{2} + 1)^{2}})x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}} + \frac{(\frac{-2(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{3}})x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)} + \frac{3x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)(x + sqrt(x^{2} + 1))^{2}} + \frac{x^{3}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))}{(x^{2} + 1)(x + sqrt(x^{2} + 1))^{2}} + \frac{3(\frac{\frac{-5}{2}(2x + 0)}{(x^{2} + 1)^{\frac{7}{2}}})x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))} + \frac{3(\frac{-(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{2}})x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{5}{2}}} + \frac{3*4x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{5}{2}}(x + sqrt(x^{2} + 1))} + \frac{3x^{4}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))}{(x^{2} + 1)^{\frac{5}{2}}(x + sqrt(x^{2} + 1))} + \frac{3(\frac{-2(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{3}})x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{2}} + \frac{3(\frac{-2(2x + 0)}{(x^{2} + 1)^{3}})x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}} + \frac{3*4x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{2}} + \frac{3x^{4}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{2}} - \frac{6(\frac{-(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{2}})x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{3}{2}}} - \frac{6(\frac{\frac{-3}{2}(2x + 0)}{(x^{2} + 1)^{\frac{5}{2}}})x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))} - \frac{6*2x(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))(x^{2} + 1)^{\frac{3}{2}}} - \frac{6x^{2}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))}{(x + sqrt(x^{2} + 1))(x^{2} + 1)^{\frac{3}{2}}} - \frac{3(\frac{-2(2x + 0)}{(x^{2} + 1)^{3}})x^{5}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}} - \frac{3(\frac{-2(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{3}})x^{5}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{2}} - \frac{3*5x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{2}(x + sqrt(x^{2} + 1))^{2}} - \frac{3x^{5}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))}{(x^{2} + 1)^{2}(x + sqrt(x^{2} + 1))^{2}} - \frac{2(\frac{\frac{-3}{2}(2x + 0)}{(x^{2} + 1)^{\frac{5}{2}}})x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}} - \frac{2(\frac{-2(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{3}})x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{3}{2}}} - \frac{2*4x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{3}{2}}(x + sqrt(x^{2} + 1))^{2}} - \frac{2x^{4}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))}{(x^{2} + 1)^{\frac{3}{2}}(x + sqrt(x^{2} + 1))^{2}} + \frac{2(\frac{-3(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{4}})x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{3}{2}}} + \frac{2(\frac{\frac{-3}{2}(2x + 0)}{(x^{2} + 1)^{\frac{5}{2}}})x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}} + \frac{2*4x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)^{\frac{3}{2}}} + \frac{2x^{4}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)^{\frac{3}{2}}} + \frac{6(\frac{-3(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{4}})x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)} + \frac{6(\frac{-(2x + 0)}{(x^{2} + 1)^{2}})x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}} + \frac{6*3x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)} + \frac{6x^{3}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)} - \frac{3(\frac{-(2x + 0)}{(x^{2} + 1)^{2}})x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}} - \frac{3(\frac{-2(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{3}})x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)} - \frac{3*2x(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)(x + sqrt(x^{2} + 1))^{2}} - \frac{3x^{2}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))}{(x^{2} + 1)(x + sqrt(x^{2} + 1))^{2}} - \frac{(\frac{\frac{-3}{2}(2x + 0)}{(x^{2} + 1)^{\frac{5}{2}}})x^{5}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}} - \frac{(\frac{-3(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{4}})x^{5}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{3}{2}}} - \frac{5x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{3}{2}}(x + sqrt(x^{2} + 1))^{3}} - \frac{x^{5}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))}{(x^{2} + 1)^{\frac{3}{2}}(x + sqrt(x^{2} + 1))^{3}} - \frac{3(\frac{-(2x + 0)}{(x^{2} + 1)^{2}})x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}} - \frac{3(\frac{-3(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{4}})x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)} - \frac{3*4x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)(x + sqrt(x^{2} + 1))^{3}} - \frac{3x^{4}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))}{(x^{2} + 1)(x + sqrt(x^{2} + 1))^{3}} + \frac{6(\frac{-3(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{4}})x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{1}{2}}} + \frac{6(\frac{\frac{-1}{2}(2x + 0)}{(x^{2} + 1)^{\frac{3}{2}}})x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}} + \frac{6*2x(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)^{\frac{1}{2}}} + \frac{6x^{2}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)^{\frac{1}{2}}} + \frac{3(\frac{-2(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{3}})x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{3}{2}}} + \frac{3(\frac{\frac{-3}{2}(2x + 0)}{(x^{2} + 1)^{\frac{5}{2}}})x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}} + \frac{3*3x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{\frac{3}{2}}} + \frac{3x^{3}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{\frac{3}{2}}} - \frac{4(\frac{\frac{-1}{2}(2x + 0)}{(x^{2} + 1)^{\frac{3}{2}}})x(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}} - \frac{4(\frac{-2(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{3}})x(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{1}{2}}} - \frac{4(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))^{2}} - \frac{4x((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))^{2}} - \frac{2(\frac{\frac{-1}{2}(2x + 0)}{(x^{2} + 1)^{\frac{3}{2}}})x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}} - \frac{2(\frac{-3(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{4}})x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{1}{2}}} - \frac{2*3x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))^{3}} - \frac{2x^{3}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))^{3}} - \frac{3(\frac{-2(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{3}})x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)} - \frac{3(\frac{-(2x + 0)}{(x^{2} + 1)^{2}})x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}} - \frac{3*2x(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)} - \frac{3x^{2}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)} + \frac{3(\frac{-(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{2}})(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{1}{2}}} + \frac{3(\frac{\frac{-1}{2}(2x + 0)}{(x^{2} + 1)^{\frac{3}{2}}})(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))} + \frac{3((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))}{(x + sqrt(x^{2} + 1))(x^{2} + 1)^{\frac{1}{2}}} - \frac{2(\frac{-3(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{4}})x^{5}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{3}{2}}} - \frac{2(\frac{\frac{-3}{2}(2x + 0)}{(x^{2} + 1)^{\frac{5}{2}}})x^{5}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}} - \frac{2*5x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)^{\frac{3}{2}}} - \frac{2x^{5}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)^{\frac{3}{2}}} - \frac{6(\frac{-3(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{4}})x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)} - \frac{6(\frac{-(2x + 0)}{(x^{2} + 1)^{2}})x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}} - \frac{6*4x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)} - \frac{6x^{4}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)} - \frac{5(\frac{-2(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{3}})x(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{1}{2}}} - \frac{5(\frac{\frac{-1}{2}(2x + 0)}{(x^{2} + 1)^{\frac{3}{2}}})x(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}} - \frac{5(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{\frac{1}{2}}} - \frac{5x((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{\frac{1}{2}}} + \frac{(\frac{-3(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{4}})x^{6}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{3}{2}}} + \frac{(\frac{\frac{-3}{2}(2x + 0)}{(x^{2} + 1)^{\frac{5}{2}}})x^{6}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}} + \frac{6x^{5}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)^{\frac{3}{2}}} + \frac{x^{6}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)^{\frac{3}{2}}} + \frac{2(\frac{-3(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{4}})x^{5}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)} + \frac{2(\frac{-(2x + 0)}{(x^{2} + 1)^{2}})x^{5}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}} + \frac{2*5x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)} + \frac{2x^{5}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)} - \frac{7(\frac{-3(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{4}})x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{1}{2}}} - \frac{7(\frac{\frac{-1}{2}(2x + 0)}{(x^{2} + 1)^{\frac{3}{2}}})x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}} - \frac{7*3x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)^{\frac{1}{2}}} - \frac{7x^{3}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)^{\frac{1}{2}}} + \frac{2(\frac{-3(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{4}})x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{1}{2}}} + \frac{2(\frac{\frac{-1}{2}(2x + 0)}{(x^{2} + 1)^{\frac{3}{2}}})x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}} + \frac{2*4x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)^{\frac{1}{2}}} + \frac{2x^{4}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)^{\frac{1}{2}}} + 2(\frac{-3(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{4}})x(x + sqrt(x^{2} + 1))^{x} + \frac{2(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}} + \frac{2x((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))}{(x + sqrt(x^{2} + 1))^{3}} - 3(\frac{-3(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{4}})x^{2}(x + sqrt(x^{2} + 1))^{x} - \frac{3*2x(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}} - \frac{3x^{2}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))}{(x + sqrt(x^{2} + 1))^{3}} - \frac{(\frac{-2(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{3}})x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{3}{2}}} - \frac{(\frac{\frac{-3}{2}(2x + 0)}{(x^{2} + 1)^{\frac{5}{2}}})x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}} - \frac{4x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{\frac{3}{2}}} - \frac{x^{4}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{\frac{3}{2}}} + \frac{(\frac{-(2x + 0)}{(x^{2} + 1)^{2}})x^{5}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}} + \frac{(\frac{-3(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{4}})x^{5}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)} + \frac{5x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)(x + sqrt(x^{2} + 1))^{3}} + \frac{x^{5}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))}{(x^{2} + 1)(x + sqrt(x^{2} + 1))^{3}} + \frac{(\frac{\frac{-1}{2}(2x + 0)}{(x^{2} + 1)^{\frac{3}{2}}})x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}} + \frac{(\frac{-3(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{4}})x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{1}{2}}} + \frac{4x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))^{3}} + \frac{x^{4}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))^{3}} + (\frac{-3(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))^{4}})x^{3}(x + sqrt(x^{2} + 1))^{x} + \frac{3x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}} + \frac{x^{3}((x + sqrt(x^{2} + 1))^{x}((1)ln(x + sqrt(x^{2} + 1)) + \frac{(x)(1 + \frac{(2x + 0)*\frac{1}{2}}{(x^{2} + 1)^{\frac{1}{2}}})}{(x + sqrt(x^{2} + 1))}))}{(x + sqrt(x^{2} + 1))^{3}}\\=&(x + sqrt(x^{2} + 1))^{x}ln^{4}(x + sqrt(x^{2} + 1)) + \frac{2x^{2}(x + sqrt(x^{2} + 1))^{x}ln^{3}(x + sqrt(x^{2} + 1))}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))} + \frac{4x(x + sqrt(x^{2} + 1))^{x}ln^{3}(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))} + \frac{12(x + sqrt(x^{2} + 1))^{x}ln^{2}(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))} + \frac{12x(x + sqrt(x^{2} + 1))^{x}ln^{2}(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))(x^{2} + 1)^{\frac{1}{2}}} - \frac{4x^{3}(x + sqrt(x^{2} + 1))^{x}ln^{2}(x + sqrt(x^{2} + 1))}{(x^{2} + 1)^{\frac{3}{2}}(x + sqrt(x^{2} + 1))} - \frac{6x^{3}(x + sqrt(x^{2} + 1))^{x}ln^{2}(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)} + \frac{2x^{2}(x + sqrt(x^{2} + 1))^{x}ln^{3}(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))(x^{2} + 1)^{\frac{1}{2}}} + \frac{2x^{4}(x + sqrt(x^{2} + 1))^{x}ln^{2}(x + sqrt(x^{2} + 1))}{(x^{2} + 1)(x + sqrt(x^{2} + 1))^{2}} + \frac{2x^{3}(x + sqrt(x^{2} + 1))^{x}ln^{2}(x + sqrt(x^{2} + 1))}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))^{2}} + \frac{24x^{2}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))^{2}} + \frac{17x^{3}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x^{2} + 1)(x + sqrt(x^{2} + 1))^{2}} - \frac{12x^{2}(x + sqrt(x^{2} + 1))^{x}ln^{2}(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{\frac{1}{2}}} + \frac{6x(x + sqrt(x^{2} + 1))^{x}ln^{2}(x + sqrt(x^{2} + 1))}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))} + \frac{10x^{3}(x + sqrt(x^{2} + 1))^{x}ln^{2}(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{\frac{1}{2}}} + \frac{6x^{2}(x + sqrt(x^{2} + 1))^{x}ln^{2}(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{2}} + \frac{24x(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{2}} + \frac{36x^{2}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{\frac{1}{2}}} - \frac{12(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{2}} + \frac{4(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))(x^{2} + 1)^{\frac{1}{2}}} - \frac{9x^{2}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x^{2} + 1)(x + sqrt(x^{2} + 1))^{2}} - \frac{15x^{2}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)} + \frac{4x^{4}(x + sqrt(x^{2} + 1))^{x}ln^{2}(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)} - \frac{7x^{2}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))(x^{2} + 1)^{\frac{3}{2}}} + \frac{8(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))} - \frac{2x^{3}(x + sqrt(x^{2} + 1))^{x}ln^{2}(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))(x^{2} + 1)^{\frac{3}{2}}} + \frac{19x^{3}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)} + \frac{12x^{4}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{2}} + \frac{12x^{3}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{\frac{3}{2}}} + \frac{3x^{4}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x^{2} + 1)^{\frac{5}{2}}(x + sqrt(x^{2} + 1))} + \frac{8x^{4}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)^{\frac{3}{2}}} + \frac{24x^{3}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)} - \frac{6x^{5}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x^{2} + 1)^{2}(x + sqrt(x^{2} + 1))^{2}} - \frac{2x^{4}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x^{2} + 1)^{\frac{3}{2}}(x + sqrt(x^{2} + 1))^{2}} + \frac{24x^{2}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)^{\frac{1}{2}}} - \frac{12x(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))^{2}} - \frac{3x^{5}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x^{2} + 1)^{\frac{3}{2}}(x + sqrt(x^{2} + 1))^{3}} - \frac{9x^{4}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x^{2} + 1)(x + sqrt(x^{2} + 1))^{3}} - \frac{9x^{5}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)^{\frac{3}{2}}} - \frac{27x^{4}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)} - \frac{6x^{5}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{2}} - \frac{30x^{3}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)^{\frac{1}{2}}} - \frac{24x(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{\frac{1}{2}}} - \frac{6x^{3}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))^{3}} - \frac{10x^{4}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{\frac{3}{2}}} + \frac{2x^{6}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)^{\frac{3}{2}}} + \frac{5x^{5}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)} + \frac{7x^{4}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)^{\frac{1}{2}}} + \frac{7x^{5}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x^{2} + 1)(x + sqrt(x^{2} + 1))^{3}} + \frac{5x^{4}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))^{3}} - \frac{17x^{2}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x^{2} + 1)^{\frac{3}{2}}(x + sqrt(x^{2} + 1))} + \frac{9x^{4}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))(x^{2} + 1)^{\frac{5}{2}}} + \frac{2x^{6}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x^{2} + 1)^{\frac{3}{2}}(x + sqrt(x^{2} + 1))^{3}} + \frac{18x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)^{\frac{1}{2}}} + \frac{12x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)} - \frac{32x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))^{3}} + \frac{28x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)(x + sqrt(x^{2} + 1))^{2}} - \frac{38x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{2}} - \frac{2x^{5}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)^{\frac{3}{2}}} + \frac{24x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))^{3}} + \frac{36x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)(x + sqrt(x^{2} + 1))^{3}} + \frac{22x(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{\frac{1}{2}}} + \frac{26x(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))^{2}} + \frac{11x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)} - \frac{12x^{2}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{3}} + \frac{4x^{3}(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{3}} - \frac{26x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{\frac{3}{2}}} - \frac{6x(x + sqrt(x^{2} + 1))^{x}ln^{2}(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{2}} - \frac{10x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{3}{2}}(x + sqrt(x^{2} + 1))^{2}} - \frac{4x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{2}(x + sqrt(x^{2} + 1))^{2}} - \frac{11x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{3}{2}}(x + sqrt(x^{2} + 1))^{3}} + \frac{8x(x + sqrt(x^{2} + 1))^{x}ln(x + sqrt(x^{2} + 1))}{(x + sqrt(x^{2} + 1))^{3}} - \frac{41x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)(x + sqrt(x^{2} + 1))^{3}} + \frac{14x^{5}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{3}{2}}(x + sqrt(x^{2} + 1))^{3}} + \frac{8(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}} - \frac{58x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)^{\frac{1}{2}}} - \frac{24x(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}} + \frac{12x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}} + \frac{12(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}} - \frac{13x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)^{\frac{3}{2}}} - \frac{67x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)} - \frac{15x^{5}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{7}{2}}(x + sqrt(x^{2} + 1))} - \frac{15x^{5}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{3}} + \frac{30x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))(x^{2} + 1)^{\frac{5}{2}}} + \frac{15x^{6}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{3}(x + sqrt(x^{2} + 1))^{2}} + \frac{9x^{5}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{5}{2}}(x + sqrt(x^{2} + 1))^{2}} - \frac{12x^{5}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)^{\frac{5}{2}}} - \frac{24x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)^{2}} + \frac{18x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{2}(x + sqrt(x^{2} + 1))^{2}} + \frac{12x^{6}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{5}{2}}(x + sqrt(x^{2} + 1))^{3}} + \frac{18x^{5}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{2}(x + sqrt(x^{2} + 1))^{3}} + \frac{12x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{2}} - \frac{12x(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{3}{2}}(x + sqrt(x^{2} + 1))} - \frac{6x^{7}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)^{\frac{5}{2}}} - \frac{9x^{6}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)^{2}} + \frac{18x^{5}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)^{2}} - \frac{6x^{5}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{4}(x^{2} + 1)^{2}} - \frac{24x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{4}(x^{2} + 1)^{\frac{3}{2}}} + \frac{8x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{3}{2}}(x + sqrt(x^{2} + 1))^{3}} + \frac{11x^{6}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{4}(x^{2} + 1)^{2}} + \frac{44x^{5}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{4}(x^{2} + 1)^{\frac{3}{2}}} - \frac{36x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{4}(x^{2} + 1)} + \frac{18x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)(x + sqrt(x^{2} + 1))^{3}} + \frac{66x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{4}(x^{2} + 1)} - \frac{9x(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)} - \frac{6x^{7}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{4}(x^{2} + 1)^{2}} - \frac{24x^{6}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{4}(x^{2} + 1)^{\frac{3}{2}}} - \frac{36x^{5}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{4}(x^{2} + 1)} - \frac{24x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{4}(x^{2} + 1)^{\frac{1}{2}}} + \frac{12x(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))^{3}} + \frac{44x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{4}(x^{2} + 1)^{\frac{1}{2}}} - \frac{12x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{\frac{5}{2}}} + \frac{13x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{3}{2}}(x + sqrt(x^{2} + 1))^{2}} + \frac{30x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)} - \frac{4(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{\frac{1}{2}}(x + sqrt(x^{2} + 1))^{2}} - \frac{24x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{4}(x^{2} + 1)^{\frac{1}{2}}} - \frac{6x(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)(x + sqrt(x^{2} + 1))^{2}} - \frac{8(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{\frac{1}{2}}} - \frac{3x(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))(x^{2} + 1)^{\frac{3}{2}}} + \frac{6x^{6}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)^{\frac{5}{2}}} + \frac{24x(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{3}(x^{2} + 1)^{\frac{1}{2}}} + \frac{11x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{\frac{3}{2}}} + \frac{x^{8}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{4}(x^{2} + 1)^{2}} + \frac{4x^{7}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{4}(x^{2} + 1)^{\frac{3}{2}}} + \frac{6x^{6}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{4}(x^{2} + 1)} + \frac{4x^{5}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{4}(x^{2} + 1)^{\frac{1}{2}}} - \frac{6x(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{4}} + \frac{11x^{2}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{4}} - \frac{6x^{3}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{4}} + \frac{3x^{5}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{2}(x^{2} + 1)^{\frac{5}{2}}} - \frac{3x^{6}(x + sqrt(x^{2} + 1))^{x}}{(x^{2} + 1)^{2}(x + sqrt(x^{2} + 1))^{3}} + \frac{x^{4}(x + sqrt(x^{2} + 1))^{x}}{(x + sqrt(x^{2} + 1))^{4}}\\ \end{split}\end{equation} \]