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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ {x}^{(2sqrt({x}^{2} - 10sqrt(3){x}^{100}))}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = {x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( {x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}\right)}{dx}\\=&({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))\\=&\frac{-1000x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} + \frac{2x{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} + \frac{2{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(-10x^{100}sqrt(3) + x^{2})}{x}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( \frac{-1000x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} + \frac{2x{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} + \frac{2{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(-10x^{100}sqrt(3) + x^{2})}{x}\right)}{dx}\\=&-1000(\frac{\frac{-1}{2}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}})x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3) - \frac{1000*99x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{1000x^{99}({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{1000x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}(x)} - \frac{1000x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)*0*\frac{1}{2}*3^{\frac{1}{2}}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} + 2(\frac{\frac{-1}{2}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}})x{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x) + \frac{2{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} + \frac{2x({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln(x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} + \frac{2x{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}(x)} + \frac{2*-{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(-10x^{100}sqrt(3) + x^{2})}{x^{2}} + \frac{2({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))sqrt(-10x^{100}sqrt(3) + x^{2})}{x} + \frac{2{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{x(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}}\\=& - \frac{2000x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{2000x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{99000x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} + \frac{1000000x^{198}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})} - \frac{4000x^{100}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})} + \frac{2000x^{100}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{2000x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} + \frac{8{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} + \frac{2{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{500000x^{198}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{2x^{2}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{4{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{2{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(-10x^{100}sqrt(3) + x^{2})}{x^{2}} + \frac{4x^{2}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)}{(-10x^{100}sqrt(3) + x^{2})} + \frac{4{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(-10x^{100}sqrt(3) + x^{2})^{2}}{x^{2}}\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( - \frac{2000x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{2000x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{99000x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} + \frac{1000000x^{198}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})} - \frac{4000x^{100}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})} + \frac{2000x^{100}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{2000x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} + \frac{8{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} + \frac{2{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{500000x^{198}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{2x^{2}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{4{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{2{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(-10x^{100}sqrt(3) + x^{2})}{x^{2}} + \frac{4x^{2}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)}{(-10x^{100}sqrt(3) + x^{2})} + \frac{4{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(-10x^{100}sqrt(3) + x^{2})^{2}}{x^{2}}\right)}{dx}\\=& - 2000(\frac{\frac{-1}{2}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}})x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3) - \frac{2000*98x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{2000x^{98}({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{2000x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}(x)} - \frac{2000x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{2000x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})*0*\frac{1}{2}*3^{\frac{1}{2}}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - 2000(\frac{\frac{-1}{2}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}})x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2}) - \frac{2000*98x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{2000x^{98}({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln(x)sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{2000x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}(x)} - \frac{2000x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)*0*\frac{1}{2}*3^{\frac{1}{2}}sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{2000x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - 99000(\frac{\frac{-1}{2}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}})x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3) - \frac{99000*98x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{99000x^{98}({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{99000x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}(x)} - \frac{99000x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)*0*\frac{1}{2}*3^{\frac{1}{2}}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} + 1000000(\frac{-(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{2}})x^{198}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)^{2} + \frac{1000000*198x^{197}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})} + \frac{1000000x^{198}({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln^{2}(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})} + \frac{1000000x^{198}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}*2ln(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})(x)} + \frac{1000000x^{198}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)*2(3)^{\frac{1}{2}}*0*\frac{1}{2}*3^{\frac{1}{2}}}{(-10x^{100}sqrt(3) + x^{2})} - 4000(\frac{-(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{2}})x^{100}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3) - \frac{4000*100x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})} - \frac{4000x^{100}({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln^{2}(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})} - \frac{4000x^{100}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}*2ln(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})(x)} - \frac{4000x^{100}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)*0*\frac{1}{2}*3^{\frac{1}{2}}}{(-10x^{100}sqrt(3) + x^{2})} + 2000(\frac{\frac{-3}{2}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}})x^{100}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3) + \frac{2000*100x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{2000x^{100}({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{2000x^{100}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}(x)} + \frac{2000x^{100}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)*0*\frac{1}{2}*3^{\frac{1}{2}}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - 2000(\frac{\frac{-1}{2}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}})x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3) - \frac{2000*98x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{2000x^{98}({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{2000x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}*0*\frac{1}{2}*3^{\frac{1}{2}}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} + 8(\frac{\frac{-1}{2}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}}){x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2}) + \frac{8({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} + \frac{8{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}(x)} + \frac{8{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} + 2(\frac{\frac{-1}{2}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}}){x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x) + \frac{2({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln(x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} + \frac{2{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}(x)} - 500000(\frac{\frac{-3}{2}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}})x^{198}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)^{2} - \frac{500000*198x^{197}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{500000x^{198}({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{500000x^{198}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}(x)} - \frac{500000x^{198}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)*2(3)^{\frac{1}{2}}*0*\frac{1}{2}*3^{\frac{1}{2}}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - 2(\frac{\frac{-3}{2}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}})x^{2}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x) - \frac{2*2x{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{2x^{2}({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln(x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{2x^{2}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}(x)} + 4(\frac{\frac{-1}{2}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}}){x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))} + \frac{4({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{2*-2{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(-10x^{100}sqrt(3) + x^{2})}{x^{3}} - \frac{2({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))sqrt(-10x^{100}sqrt(3) + x^{2})}{x^{2}} - \frac{2{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{x^{2}(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} + 4(\frac{-(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{2}})x^{2}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x) + \frac{4*2x{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)}{(-10x^{100}sqrt(3) + x^{2})} + \frac{4x^{2}({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln^{2}(x)}{(-10x^{100}sqrt(3) + x^{2})} + \frac{4x^{2}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}*2ln(x)}{(-10x^{100}sqrt(3) + x^{2})(x)} + \frac{4*-2{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(-10x^{100}sqrt(3) + x^{2})^{2}}{x^{3}} + \frac{4({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))sqrt(-10x^{100}sqrt(3) + x^{2})^{2}}{x^{2}} + \frac{4{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}*2(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{x^{2}(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}}\\=&\frac{-2000000x^{197}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)^{2}sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{8000x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})^{2}sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{394000x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} + \frac{4000000x^{197}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)^{2}sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})} - \frac{6000x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{194000x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} + \frac{6000x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{12000x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})} - \frac{12000x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})} + \frac{6000x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{2000000x^{197}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})} - \frac{2000x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{1000000x^{197}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{4000x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2})^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{9702000x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} + \frac{297000000x^{197}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})} - \frac{1000000000x^{297}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{3}(x)sqrt(3)^{3}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{6000000x^{197}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})} - \frac{294000x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} + \frac{1500000000x^{297}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)^{3}}{(-10x^{100}sqrt(3) + x^{2})^{2}} - \frac{9000000x^{199}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{2}} + \frac{6000000x^{199}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{3}(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{18000x^{101}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{2}} - \frac{600000x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})} - \frac{12000x^{101}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{3}(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{4500000x^{199}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}} - \frac{750000000x^{297}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)^{3}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}} + \frac{300000x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{24000x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})} + \frac{6000x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{1500000x^{197}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{24{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}x} + \frac{24x{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})} - \frac{12x{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{16{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}x} - \frac{9000x^{101}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}} - \frac{148500000x^{197}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{12x{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)}{(-10x^{100}sqrt(3) + x^{2})} + \frac{24x{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)}{(-10x^{100}sqrt(3) + x^{2})} - \frac{6x{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{4{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(-10x^{100}sqrt(3) + x^{2})}{x^{3}} - \frac{12x^{3}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)}{(-10x^{100}sqrt(3) + x^{2})^{2}} - \frac{12{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(-10x^{100}sqrt(3) + x^{2})^{2}}{x^{3}} + \frac{8x^{3}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{3}(x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{6x^{3}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}} - \frac{6x{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{8{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(-10x^{100}sqrt(3) + x^{2})^{3}}{x^{3}} - 4000x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3) + \frac{8{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}}{x}\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( \frac{-2000000x^{197}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)^{2}sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{8000x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})^{2}sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{394000x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} + \frac{4000000x^{197}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)^{2}sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})} - \frac{6000x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{194000x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} + \frac{6000x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{12000x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})} - \frac{12000x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})} + \frac{6000x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{2000000x^{197}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})} - \frac{2000x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{1000000x^{197}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{4000x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2})^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{9702000x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} + \frac{297000000x^{197}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})} - \frac{1000000000x^{297}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{3}(x)sqrt(3)^{3}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{6000000x^{197}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})} - \frac{294000x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} + \frac{1500000000x^{297}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)^{3}}{(-10x^{100}sqrt(3) + x^{2})^{2}} - \frac{9000000x^{199}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{2}} + \frac{6000000x^{199}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{3}(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{18000x^{101}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{2}} - \frac{600000x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})} - \frac{12000x^{101}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{3}(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{4500000x^{199}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}} - \frac{750000000x^{297}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)^{3}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}} + \frac{300000x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{24000x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})} + \frac{6000x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{1500000x^{197}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{24{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}x} + \frac{24x{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})} - \frac{12x{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{16{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}x} - \frac{9000x^{101}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}} - \frac{148500000x^{197}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{12x{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)}{(-10x^{100}sqrt(3) + x^{2})} + \frac{24x{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)}{(-10x^{100}sqrt(3) + x^{2})} - \frac{6x{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{4{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(-10x^{100}sqrt(3) + x^{2})}{x^{3}} - \frac{12x^{3}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)}{(-10x^{100}sqrt(3) + x^{2})^{2}} - \frac{12{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(-10x^{100}sqrt(3) + x^{2})^{2}}{x^{3}} + \frac{8x^{3}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{3}(x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{6x^{3}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}} - \frac{6x{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{8{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(-10x^{100}sqrt(3) + x^{2})^{3}}{x^{3}} - 4000x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3) + \frac{8{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}}{x}\right)}{dx}\\=&-2000000(\frac{\frac{-3}{2}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}})x^{197}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)^{2}sqrt(-10x^{100}sqrt(3) + x^{2}) - \frac{2000000*197x^{196}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)^{2}sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{2000000x^{197}({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln(x)sqrt(3)^{2}sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{2000000x^{197}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)^{2}sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}(x)} - \frac{2000000x^{197}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)*2(3)^{\frac{1}{2}}*0*\frac{1}{2}*3^{\frac{1}{2}}sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{2000000x^{197}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)^{2}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - 8000(\frac{\frac{-1}{2}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}})x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})^{2}sqrt(3) - \frac{8000*97x^{96}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})^{2}sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{8000x^{97}({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})^{2}sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{8000x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(-10x^{100}sqrt(3) + x^{2})^{2}sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}(x)} - \frac{8000x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)*2(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{8000x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})^{2}*0*\frac{1}{2}*3^{\frac{1}{2}}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - 394000(\frac{\frac{-1}{2}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}})x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3) - \frac{394000*97x^{96}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{394000x^{97}({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{394000x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}(x)} - \frac{394000x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{394000x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})*0*\frac{1}{2}*3^{\frac{1}{2}}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} + 4000000(\frac{-(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{2}})x^{197}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)^{2}sqrt(-10x^{100}sqrt(3) + x^{2}) + \frac{4000000*197x^{196}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)^{2}sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})} + \frac{4000000x^{197}({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln^{2}(x)sqrt(3)^{2}sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})} + \frac{4000000x^{197}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}*2ln(x)sqrt(3)^{2}sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})(x)} + \frac{4000000x^{197}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)*2(3)^{\frac{1}{2}}*0*\frac{1}{2}*3^{\frac{1}{2}}sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})} + \frac{4000000x^{197}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)^{2}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - 6000(\frac{\frac{-1}{2}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}})x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3) - \frac{6000*97x^{96}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{6000x^{97}({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{6000x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{6000x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(-10x^{100}sqrt(3) + x^{2})*0*\frac{1}{2}*3^{\frac{1}{2}}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - 194000(\frac{\frac{-1}{2}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}})x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2}) - \frac{194000*97x^{96}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{194000x^{97}({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln(x)sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{194000x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}(x)} - \frac{194000x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)*0*\frac{1}{2}*3^{\frac{1}{2}}sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{194000x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} + 6000(\frac{\frac{-3}{2}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}})x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2}) + \frac{6000*99x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{6000x^{99}({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln(x)sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{6000x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}(x)} + \frac{6000x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)*0*\frac{1}{2}*3^{\frac{1}{2}}sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{6000x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - 12000(\frac{-(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{2}})x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3) - \frac{12000*99x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})} - \frac{12000x^{99}({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln^{2}(x)sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})} - \frac{12000x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}*2ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})(x)} - \frac{12000x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{12000x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(-10x^{100}sqrt(3) + x^{2})*0*\frac{1}{2}*3^{\frac{1}{2}}}{(-10x^{100}sqrt(3) + x^{2})} - 12000(\frac{-(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{2}})x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2}) - \frac{12000*99x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})} - \frac{12000x^{99}({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln^{2}(x)sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})} - \frac{12000x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}*2ln(x)sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})(x)} - \frac{12000x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)*0*\frac{1}{2}*3^{\frac{1}{2}}sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})} - \frac{12000x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} + 6000(\frac{\frac{-3}{2}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}})x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3) + \frac{6000*99x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{6000x^{99}({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{6000x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}(x)} + \frac{6000x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} + \frac{6000x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})*0*\frac{1}{2}*3^{\frac{1}{2}}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + 2000000(\frac{-(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{2}})x^{197}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)^{2} + \frac{2000000*197x^{196}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})} + \frac{2000000x^{197}({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln^{2}(x)sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})} + \frac{2000000x^{197}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}*2ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})(x)} + \frac{2000000x^{197}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} + \frac{2000000x^{197}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(-10x^{100}sqrt(3) + x^{2})*2(3)^{\frac{1}{2}}*0*\frac{1}{2}*3^{\frac{1}{2}}}{(-10x^{100}sqrt(3) + x^{2})} - 2000(\frac{\frac{-1}{2}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}})x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2}) - \frac{2000*97x^{96}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{2000x^{97}({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{2000x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}*0*\frac{1}{2}*3^{\frac{1}{2}}sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{2000x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - 1000000(\frac{\frac{-3}{2}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}})x^{197}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)^{2} - \frac{1000000*197x^{196}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{1000000x^{197}({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{1000000x^{197}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}(x)} - \frac{1000000x^{197}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{1000000x^{197}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})*2(3)^{\frac{1}{2}}*0*\frac{1}{2}*3^{\frac{1}{2}}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - 4000(\frac{\frac{-1}{2}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}})x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2})^{2} - \frac{4000*97x^{96}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2})^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{4000x^{97}({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln(x)sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2})^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{4000x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2})^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}(x)} - \frac{4000x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)*0*\frac{1}{2}*3^{\frac{1}{2}}sqrt(-10x^{100}sqrt(3) + x^{2})^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{4000x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)*2(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - 9702000(\frac{\frac{-1}{2}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}})x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3) - \frac{9702000*97x^{96}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{9702000x^{97}({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{9702000x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}(x)} - \frac{9702000x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)*0*\frac{1}{2}*3^{\frac{1}{2}}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} + 297000000(\frac{-(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{2}})x^{197}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)^{2} + \frac{297000000*197x^{196}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})} + \frac{297000000x^{197}({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln^{2}(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})} + \frac{297000000x^{197}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}*2ln(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})(x)} + \frac{297000000x^{197}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)*2(3)^{\frac{1}{2}}*0*\frac{1}{2}*3^{\frac{1}{2}}}{(-10x^{100}sqrt(3) + x^{2})} - 1000000000(\frac{\frac{-3}{2}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}})x^{297}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{3}(x)sqrt(3)^{3} - \frac{1000000000*297x^{296}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{3}(x)sqrt(3)^{3}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{1000000000x^{297}({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln^{3}(x)sqrt(3)^{3}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{1000000000x^{297}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}*3ln^{2}(x)sqrt(3)^{3}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}(x)} - \frac{1000000000x^{297}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{3}(x)*3(3)*0*\frac{1}{2}*3^{\frac{1}{2}}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + 6000000(\frac{-(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{2}})x^{197}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)^{2} + \frac{6000000*197x^{196}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})} + \frac{6000000x^{197}({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})} + \frac{6000000x^{197}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})(x)} + \frac{6000000x^{197}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)*2(3)^{\frac{1}{2}}*0*\frac{1}{2}*3^{\frac{1}{2}}}{(-10x^{100}sqrt(3) + x^{2})} - 294000(\frac{\frac{-1}{2}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}})x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3) - \frac{294000*97x^{96}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{294000x^{97}({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{294000x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}*0*\frac{1}{2}*3^{\frac{1}{2}}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} + 1500000000(\frac{-2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{3}})x^{297}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)^{3} + \frac{1500000000*297x^{296}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)^{3}}{(-10x^{100}sqrt(3) + x^{2})^{2}} + \frac{1500000000x^{297}({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln^{2}(x)sqrt(3)^{3}}{(-10x^{100}sqrt(3) + x^{2})^{2}} + \frac{1500000000x^{297}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}*2ln(x)sqrt(3)^{3}}{(-10x^{100}sqrt(3) + x^{2})^{2}(x)} + \frac{1500000000x^{297}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)*3(3)*0*\frac{1}{2}*3^{\frac{1}{2}}}{(-10x^{100}sqrt(3) + x^{2})^{2}} - 9000000(\frac{-2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{3}})x^{199}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)^{2} - \frac{9000000*199x^{198}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{2}} - \frac{9000000x^{199}({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln^{2}(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{2}} - \frac{9000000x^{199}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}*2ln(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{2}(x)} - \frac{9000000x^{199}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)*2(3)^{\frac{1}{2}}*0*\frac{1}{2}*3^{\frac{1}{2}}}{(-10x^{100}sqrt(3) + x^{2})^{2}} + 6000000(\frac{\frac{-3}{2}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}})x^{199}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{3}(x)sqrt(3)^{2} + \frac{6000000*199x^{198}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{3}(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{6000000x^{199}({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln^{3}(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{6000000x^{199}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}*3ln^{2}(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}(x)} + \frac{6000000x^{199}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{3}(x)*2(3)^{\frac{1}{2}}*0*\frac{1}{2}*3^{\frac{1}{2}}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + 18000(\frac{-2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{3}})x^{101}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3) + \frac{18000*101x^{100}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{2}} + \frac{18000x^{101}({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln^{2}(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{2}} + \frac{18000x^{101}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}*2ln(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{2}(x)} + \frac{18000x^{101}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)*0*\frac{1}{2}*3^{\frac{1}{2}}}{(-10x^{100}sqrt(3) + x^{2})^{2}} - 600000(\frac{-(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{2}})x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3) - \frac{600000*99x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})} - \frac{600000x^{99}({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln^{2}(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})} - \frac{600000x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}*2ln(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})(x)} - \frac{600000x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)*0*\frac{1}{2}*3^{\frac{1}{2}}}{(-10x^{100}sqrt(3) + x^{2})} - 12000(\frac{\frac{-3}{2}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}})x^{101}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{3}(x)sqrt(3) - \frac{12000*101x^{100}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{3}(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{12000x^{101}({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln^{3}(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{12000x^{101}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}*3ln^{2}(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}(x)} - \frac{12000x^{101}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{3}(x)*0*\frac{1}{2}*3^{\frac{1}{2}}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + 4500000(\frac{\frac{-5}{2}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{7}{2}}})x^{199}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)^{2} + \frac{4500000*199x^{198}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}} + \frac{4500000x^{199}({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}} + \frac{4500000x^{199}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}(x)} + \frac{4500000x^{199}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)*2(3)^{\frac{1}{2}}*0*\frac{1}{2}*3^{\frac{1}{2}}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}} - 750000000(\frac{\frac{-5}{2}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{7}{2}}})x^{297}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)^{3} - \frac{750000000*297x^{296}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)^{3}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}} - \frac{750000000x^{297}({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln(x)sqrt(3)^{3}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}} - \frac{750000000x^{297}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)^{3}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}(x)} - \frac{750000000x^{297}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)*3(3)*0*\frac{1}{2}*3^{\frac{1}{2}}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}} + 300000(\frac{\frac{-3}{2}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}})x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3) + \frac{300000*99x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{300000x^{99}({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{300000x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}(x)} + \frac{300000x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)*0*\frac{1}{2}*3^{\frac{1}{2}}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - 24000(\frac{-(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{2}})x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3) - \frac{24000*99x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})} - \frac{24000x^{99}({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})} - \frac{24000x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})(x)} - \frac{24000x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)*0*\frac{1}{2}*3^{\frac{1}{2}}}{(-10x^{100}sqrt(3) + x^{2})} + 6000(\frac{\frac{-3}{2}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}})x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3) + \frac{6000*99x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{6000x^{99}({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{6000x^{99}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}*0*\frac{1}{2}*3^{\frac{1}{2}}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - 1500000(\frac{\frac{-3}{2}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}})x^{197}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)^{2} - \frac{1500000*197x^{196}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{1500000x^{197}({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{1500000x^{197}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}*2(3)^{\frac{1}{2}}*0*\frac{1}{2}*3^{\frac{1}{2}}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{24(\frac{\frac{-1}{2}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}}){x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})^{2}}{x} + \frac{24*-{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}x^{2}} + \frac{24({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}x} + \frac{24{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(-10x^{100}sqrt(3) + x^{2})^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}x(x)} + \frac{24{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)*2(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}x(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} + 24(\frac{-(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{2}})x{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(-10x^{100}sqrt(3) + x^{2}) + \frac{24{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})} + \frac{24x({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln^{2}(x)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})} + \frac{24x{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}*2ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})(x)} + \frac{24x{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - 12(\frac{\frac{-3}{2}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}})x{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2}) - \frac{12{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{12x({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{12x{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}(x)} - \frac{12x{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} + \frac{16(\frac{\frac{-1}{2}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}}){x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(-10x^{100}sqrt(3) + x^{2})}{x} + \frac{16*-{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}x^{2}} + \frac{16({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}x} + \frac{16{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}x(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - 9000(\frac{\frac{-5}{2}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{7}{2}}})x^{101}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3) - \frac{9000*101x^{100}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}} - \frac{9000x^{101}({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}} - \frac{9000x^{101}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}(x)} - \frac{9000x^{101}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)*0*\frac{1}{2}*3^{\frac{1}{2}}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}} - 148500000(\frac{\frac{-3}{2}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}})x^{197}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)^{2} - \frac{148500000*197x^{196}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{148500000x^{197}({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{148500000x^{197}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}(x)} - \frac{148500000x^{197}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)*2(3)^{\frac{1}{2}}*0*\frac{1}{2}*3^{\frac{1}{2}}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + 12(\frac{-(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{2}})x{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x) + \frac{12{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)}{(-10x^{100}sqrt(3) + x^{2})} + \frac{12x({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln^{2}(x)}{(-10x^{100}sqrt(3) + x^{2})} + \frac{12x{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}*2ln(x)}{(-10x^{100}sqrt(3) + x^{2})(x)} + 24(\frac{-(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{2}})x{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x) + \frac{24{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)}{(-10x^{100}sqrt(3) + x^{2})} + \frac{24x({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln(x)}{(-10x^{100}sqrt(3) + x^{2})} + \frac{24x{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}}{(-10x^{100}sqrt(3) + x^{2})(x)} - 6(\frac{\frac{-3}{2}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}})x{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x) - \frac{6{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{6x({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln(x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{6x{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}(x)} + \frac{4*-3{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(-10x^{100}sqrt(3) + x^{2})}{x^{4}} + \frac{4({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))sqrt(-10x^{100}sqrt(3) + x^{2})}{x^{3}} + \frac{4{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{x^{3}(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - 12(\frac{-2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{3}})x^{3}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x) - \frac{12*3x^{2}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)}{(-10x^{100}sqrt(3) + x^{2})^{2}} - \frac{12x^{3}({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln^{2}(x)}{(-10x^{100}sqrt(3) + x^{2})^{2}} - \frac{12x^{3}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}*2ln(x)}{(-10x^{100}sqrt(3) + x^{2})^{2}(x)} - \frac{12*-3{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(-10x^{100}sqrt(3) + x^{2})^{2}}{x^{4}} - \frac{12({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))sqrt(-10x^{100}sqrt(3) + x^{2})^{2}}{x^{3}} - \frac{12{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}*2(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{x^{3}(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} + 8(\frac{\frac{-3}{2}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}})x^{3}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{3}(x) + \frac{8*3x^{2}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{3}(x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{8x^{3}({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln^{3}(x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{8x^{3}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}*3ln^{2}(x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}(x)} + 6(\frac{\frac{-5}{2}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{7}{2}}})x^{3}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x) + \frac{6*3x^{2}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}} + \frac{6x^{3}({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))ln(x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}} + \frac{6x^{3}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}(x)} - 6(\frac{\frac{-3}{2}(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}})x{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))} - \frac{6{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{6x({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{8*-3{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(-10x^{100}sqrt(3) + x^{2})^{3}}{x^{4}} + \frac{8({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))sqrt(-10x^{100}sqrt(3) + x^{2})^{3}}{x^{3}} + \frac{8{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}*3(-10x^{100}sqrt(3) + x^{2})(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{x^{3}(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - 4000*97x^{96}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3) - 4000x^{97}({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))sqrt(3) - 4000x^{97}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}*0*\frac{1}{2}*3^{\frac{1}{2}} + \frac{8*-{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}}{x^{2}} + \frac{8({x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}((\frac{2(-10*100x^{99}sqrt(3) - 10x^{100}*0*\frac{1}{2}*3^{\frac{1}{2}} + 2x)*\frac{1}{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}})ln(x) + \frac{(2sqrt(-10x^{100}sqrt(3) + x^{2}))(1)}{(x)}))}{x}\\=&\frac{-4500000000x^{296}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)^{3}sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}} - \frac{6000000x^{196}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})^{2}sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{688000000x^{196}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)^{2}sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{9000000000x^{296}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)^{3}sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{2}} + \frac{12000000x^{196}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)^{2}sqrt(-10x^{100}sqrt(3) + x^{2})^{2}}{(-10x^{100}sqrt(3) + x^{2})} - \frac{6000000x^{196}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)^{2}sqrt(-10x^{100}sqrt(3) + x^{2})^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{6000000x^{196}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)^{2}sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{1952000x^{96}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})^{2}sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{24000x^{96}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})^{3}sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{57622000x^{96}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} + \frac{1376000000x^{196}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)^{2}sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})} - \frac{6000000000x^{296}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{3}(x)sqrt(3)^{3}sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{12000000x^{196}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(-10x^{100}sqrt(3) + x^{2})^{2}sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})} - \frac{24000x^{96}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(-10x^{100}sqrt(3) + x^{2})^{2}sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} + \frac{16000000x^{196}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)^{2}sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})} - \frac{48000000x^{198}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)^{2}sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{2}} - \frac{18822000x^{96}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{1564000x^{96}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} + \frac{788000x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{32000000x^{198}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{3}(x)sqrt(3)^{2}sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{24000000x^{198}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)^{2}sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}} - \frac{3176000x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})} - \frac{84000x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})} + \frac{32000x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})^{2}sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{64000x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(-10x^{100}sqrt(3) + x^{2})^{2}sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})} - \frac{388000x^{96}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{1576000x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})} - \frac{44000x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})} + \frac{1588000x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{16000x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{48000x^{100}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{3}(x)sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{24000x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{988000000x^{196}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})} + \frac{16000000x^{196}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})} + \frac{72000x^{100}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{2}} - \frac{494000000x^{196}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{48000x^{100}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{3}(x)sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{376000x^{96}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2})^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} + \frac{72000x^{100}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{2}} - \frac{36000x^{100}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}} - \frac{24000000x^{198}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{2}} + \frac{16000000x^{198}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{3}(x)sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{12000000x^{198}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}} + \frac{16000x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2})^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{4000000x^{196}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{32000x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2})^{2}}{(-10x^{100}sqrt(3) + x^{2})} - \frac{36000x^{100}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}} - \frac{2000000000x^{296}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{3}(x)sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)^{3}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{3000000000x^{296}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)^{3}}{(-10x^{100}sqrt(3) + x^{2})^{2}} - \frac{1500000000x^{296}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3)^{3}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}} - \frac{4000x^{96}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2})^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{8000x^{96}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)sqrt(-10x^{100}sqrt(3) + x^{2})^{3}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{12000000000x^{296}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)^{3}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{10000000x^{196}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})} + \frac{12000000000x^{296}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)^{3}}{(-10x^{100}sqrt(3) + x^{2})^{2}} + \frac{16000000x^{196}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} + \frac{144000x^{100}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{2}} - \frac{4752000x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})} - \frac{40000x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})} - \frac{64000x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{34105500000x^{196}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{941094000x^{96}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} + \frac{68211000000x^{196}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})} - \frac{594000000000x^{296}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{3}(x)sqrt(3)^{3}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{38222000x^{96}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} + \frac{891000000000x^{296}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)^{3}}{(-10x^{100}sqrt(3) + x^{2})^{2}} + \frac{1000000000000x^{396}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{4}(x)sqrt(3)^{4}}{(-10x^{100}sqrt(3) + x^{2})^{2}} - \frac{3000000000000x^{396}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{3}(x)sqrt(3)^{4}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}} + \frac{72000000x^{198}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{8000000000x^{298}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{4}(x)sqrt(3)^{3}}{(-10x^{100}sqrt(3) + x^{2})^{2}} + \frac{2388000000x^{198}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{3}(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{24000000000x^{298}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{3}(x)sqrt(3)^{3}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}} + \frac{2364000000x^{196}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})} + \frac{24000000x^{200}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{4}(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{2}} - \frac{30000000000x^{298}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)^{3}}{(-10x^{100}sqrt(3) + x^{2})^{3}} - \frac{591000000x^{196}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{18000000x^{198}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}} + \frac{3750000000000x^{396}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)^{4}}{(-10x^{100}sqrt(3) + x^{2})^{3}} + \frac{90000000x^{200}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{3}} - \frac{3582000000x^{198}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{2}} - \frac{72000000x^{200}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{3}(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}} - \frac{120000x^{102}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{3}} + \frac{3636000x^{100}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{2}} + \frac{96000x^{102}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{3}(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}} - \frac{78804000x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})} + \frac{15000000000x^{298}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)^{3}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{7}{2}}} - \frac{1875000000000x^{396}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)^{4}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{7}{2}}} - \frac{2424000x^{100}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{3}(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{144000x^{100}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{1791000000x^{198}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}} + \frac{64{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})^{3}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}x^{2}} - \frac{445500000000x^{296}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)^{3}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}} + \frac{96{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(-10x^{100}sqrt(3) + x^{2})^{2}}{(-10x^{100}sqrt(3) + x^{2})} - \frac{3000000000x^{296}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)^{3}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}} - \frac{48{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{39402000x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{45000000x^{200}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{7}{2}}} + \frac{1188000x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{56{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(-10x^{100}sqrt(3) + x^{2})^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}x^{2}} - \frac{48{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}x^{2}} + \frac{48{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})} - \frac{96x^{2}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{2}} + \frac{128{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})} + \frac{64x^{2}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{3}(x)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - \frac{24{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{48x^{2}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}} + \frac{64{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{32000x^{102}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{4}(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{2}} - \frac{1818000x^{100}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}} - \frac{40{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{60000x^{102}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{7}{2}}} - \frac{36000x^{100}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}} - \frac{16{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}x^{2}} + \frac{12{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)}{(-10x^{100}sqrt(3) + x^{2})} - \frac{72000000x^{198}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{2}} + \frac{8{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)sqrt(-10x^{100}sqrt(3) + x^{2})}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}x^{2}} + \frac{48{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)}{(-10x^{100}sqrt(3) + x^{2})} - \frac{6{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{40{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}}{(-10x^{100}sqrt(3) + x^{2})} - \frac{72x^{2}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)}{(-10x^{100}sqrt(3) + x^{2})^{2}} - \frac{12{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} - 8000x^{96}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(-10x^{100}sqrt(3) + x^{2})sqrt(3) + \frac{44{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(-10x^{100}sqrt(3) + x^{2})^{2}}{x^{4}} + \frac{60x^{4}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)}{(-10x^{100}sqrt(3) + x^{2})^{3}} - \frac{48x^{4}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{3}(x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}} - \frac{96x^{2}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)}{(-10x^{100}sqrt(3) + x^{2})^{2}} - \frac{48{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(-10x^{100}sqrt(3) + x^{2})^{3}}{x^{4}} - 376000x^{96}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3) + \frac{48x^{2}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{3}(x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{16x^{4}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{4}(x)}{(-10x^{100}sqrt(3) + x^{2})^{2}} + \frac{36x^{2}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}} - \frac{30x^{4}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln(x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{7}{2}}} + \frac{120000x^{196}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)^{2}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} - \frac{12240x^{98}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(3)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} + \frac{96x^{2}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}ln^{2}(x)}{(-10x^{100}sqrt(3) + x^{2})^{\frac{3}{2}}} + \frac{16{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(-10x^{100}sqrt(3) + x^{2})^{4}}{x^{4}} + \frac{24x^{2}{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{5}{2}}} - \frac{12{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(-10x^{100}sqrt(3) + x^{2})}{x^{4}} + \frac{4{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}x^{2}} + \frac{24{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}}{(-10x^{100}sqrt(3) + x^{2})^{\frac{1}{2}}} + \frac{16{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}sqrt(-10x^{100}sqrt(3) + x^{2})}{x^{2}} - \frac{32{x}^{(2sqrt(-10x^{100}sqrt(3) + x^{2}))}}{x^{2}}\\ \end{split}\end{equation} \]