100.200 Problem number 8409

\[ \int \frac {-36 x^2-12 x^3-18 x^2 \log (5)+e^{80} x^{40} (492+240 x+246 \log (5))}{4+4 x+x^2+(4+2 x) \log (5)+\log ^2(5)} \, dx \]

Optimal antiderivative \[ \frac {6 \left ({\mathrm e}^{40 \ln \left (x \right )+80}-x^{2}\right ) x}{x +2+\ln \left (5\right )} \]

command

integrate(((246*log(5)+240*x+492)*exp(40*log(x)+80)-18*x^2*log(5)-12*x^3-36*x^2)/(log(5)^2+(2*x+4)*log(5)+x^2+4*x+4),x, algorithm="giac")

Giac 1.9.0-11 via sagemath 9.6 output

\[ \text {output too large to display} \]

Giac 1.7.0 via sagemath 9.3 output \[ \text {Timed out} \]_______________________________________________________