\[ \int \frac {-36 x^2-12 x^3-18 x^2 \log (5)+e^{80} x^{40} (492+240 x+246 \log (5))}{4+4 x+x^2+(4+2 x) \log (5)+\log ^2(5)} \, dx \]
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*ln(5)+240*x+492)*exp(40*ln(x)+80)-18*x**2*ln(5)-12*x**3-36*x**2)/(ln(5)**2+(2*x+4)*ln(5)+x**2+4*x+4),x)
Sympy 1.10.1 under Python 3.10.4 output
\[ \text {output too large to display} \]
Sympy 1.8 under Python 3.8.8 output \[ \text {Timed out} \]_____________________________________________________