\[ \int e^{-6+e^{5 x}-e^{32 e^{-1+e^{5 x}}} x^2} \left (e^{32 e^{-1+e^{5 x}}} x^x \left (-2 e^{1-e^{5 x}} x-160 e^{5 x} x^2\right )+e^{1-e^{5 x}} x^x (1+\log (x))\right ) \, dx \]
Optimal antiderivative \[ {\mathrm e}^{x \ln \left (x \right )} {\mathrm e}^{-x^{2} {\mathrm e}^{32 \,{\mathrm e}^{{\mathrm e}^{5 x}-1}}-5} \]
command
integrate(((-2*x*exp(-exp(5*x)+1)-160*x**2*exp(5*x))*exp(x*ln(x))*exp(16/exp(-exp(5*x)+1))**2+(ln(x)+1)*exp(-exp(5*x)+1)*exp(x*ln(x)))/exp(-exp(5*x)+1)/exp(x**2*exp(16/exp(-exp(5*x)+1))**2+5),x)
Sympy 1.10.1 under Python 3.10.4 output
\[ e^{x \log {\left (x \right )}} e^{- x^{2} e^{32 e^{e^{5 x} - 1}} - 5} \]
Sympy 1.8 under Python 3.8.8 output
\[ \text {Timed out} \]________________________________________________________________________________________