\[ \int \frac {\left (2000000 x-800000 x^2+80000 x^3+\left (-800000 x+160000 x^2\right ) \log (x)+80000 x \log ^2(x)\right ) \log \left (e^5+5 x\right )+\left (600000 x-720000 x^2+120000 x^3+e^5 \left (120000-144000 x+24000 x^2\right )+\left (-320000 x+160000 x^2+e^5 (-64000+32000 x)\right ) \log (x)+\left (8000 e^5+40000 x\right ) \log ^2(x)\right ) \log ^2\left (e^5+5 x\right )}{e^5+5 x} \, dx \]
Optimal antiderivative \[ 8000 x \left (\ln \left (x \right )+x -5\right )^{2} \ln \left ({\mathrm e}^{5}+5 x \right )^{2} \]
command
integrate((((8000*exp(5)+40000*x)*ln(x)**2+((32000*x-64000)*exp(5)+160000*x**2-320000*x)*ln(x)+(24000*x**2-144000*x+120000)*exp(5)+120000*x**3-720000*x**2+600000*x)*ln(exp(5)+5*x)**2+(80000*x*ln(x)**2+(160000*x**2-800000*x)*ln(x)+80000*x**3-800000*x**2+2000000*x)*ln(exp(5)+5*x))/(exp(5)+5*x),x)
Sympy 1.10.1 under Python 3.10.4 output
\[ \left (8000 x^{3} + 16000 x^{2} \log {\left (x \right )} - 80000 x^{2} + 8000 x \log {\left (x \right )}^{2} - 80000 x \log {\left (x \right )} + 200000 x\right ) \log {\left (5 x + e^{5} \right )}^{2} \]
Sympy 1.8 under Python 3.8.8 output
\[ \text {Exception raised: CoercionFailed} \]________________________________________________________________________________________