\[ \int \frac {1}{5} e^{-x} \left (e^{\frac {2 e^{-x} x}{5}} \left (5 e^x+2 x-2 x^2\right )+e^{\left (-4+e^5\right )^x} \left (-5 e^x-5 \left (e \left (-4+e^5\right )\right )^x x \log \left (-4+e^5\right )\right )\right ) \, dx \]
Optimal antiderivative \[ \left ({\mathrm e}^{\frac {2 x \,{\mathrm e}^{-x}}{5}}-{\mathrm e}^{{\mathrm e}^{x \ln \left ({\mathrm e}^{5}-4\right )}}\right ) x \]
command
integrate(1/5*((-5*x*exp(x)*ln(exp(5)-4)*exp(x*ln(exp(5)-4))-5*exp(x))*exp(exp(x*ln(exp(5)-4)))+(5*exp(x)-2*x**2+2*x)*exp(1/5*x/exp(x))**2)/exp(x),x)
Sympy 1.10.1 under Python 3.10.4 output
\[ x e^{\frac {2 x e^{- x}}{5}} - x e^{e^{x \log {\left (-4 + e^{5} \right )}}} \]
Sympy 1.8 under Python 3.8.8 output
\[ \text {Timed out} \]________________________________________________________________________________________