\[ \int \frac {35-16 x+x^2+(-5+2 x) \log \left (\frac {1}{100} e^{-x} x^3\right )}{\left (20 x-4 x^2+\left (-5 x+x^2\right ) \log \left (\frac {1}{100} e^{-x} x^3\right )\right ) \log \left (\frac {5 x-x^2}{-4+\log \left (\frac {1}{100} e^{-x} x^3\right )}\right )} \, dx \]
Optimal antiderivative \[ \ln \left (\ln \left (\frac {\left (-5+x \right ) x}{4-\ln \left (\frac {x^{3} {\mathrm e}^{-x}}{100}\right )}\right )\right ) \]
command
int(((2*x-5)*ln(1/100*x^3/exp(x))+x^2-16*x+35)/((x^2-5*x)*ln(1/100*x^3/exp(x))-4*x^2+20*x)/ln((-x^2+5*x)/(ln(1/100*x^3/exp(x))-4)),x,method=_RETURNVERBOSE)
Maple 2022.1 output
| method | result | size |
| default | \(\ln \left (\ln \left (\frac {\left (x -5\right ) x}{4-\ln \left (\frac {x^{3} {\mathrm e}^{-x}}{100}\right )}\right )\right )\) | \(24\) |
Maple 2021.1 output
\[\int \frac {\left (2 x -5\right ) \ln \left (\frac {x^{3} {\mathrm e}^{-x}}{100}\right )+x^{2}-16 x +35}{\left (\left (x^{2}-5 x \right ) \ln \left (\frac {x^{3} {\mathrm e}^{-x}}{100}\right )-4 x^{2}+20 x \right ) \ln \left (\frac {-x^{2}+5 x}{\ln \left (\frac {x^{3} {\mathrm e}^{-x}}{100}\right )-4}\right )}\, dx\]________________________________________________________________________________________