\[ \int \frac {e^{-x} \left (3 e^x x^2+e^{e^{e^{\frac {1}{3} e^{\frac {2-x^2}{x}}}}} \left (3 x^2+e^{e^{\frac {1}{3} e^{\frac {2-x^2}{x}}}+\frac {1}{3} e^{\frac {2-x^2}{x}}+\frac {2-x^2}{x}} \left (2+x^2\right )\right )\right )}{3 x^2} \, dx \]
Optimal antiderivative \[ x -{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{\frac {{\mathrm e}^{\frac {2}{x}-x}}{3}}}} {\mathrm e}^{-x}+5 \]
command
integrate(1/3*(((x**2+2)*exp((-x**2+2)/x)*exp(1/3*exp((-x**2+2)/x))*exp(exp(1/3*exp((-x**2+2)/x)))+3*x**2)*exp(exp(exp(1/3*exp((-x**2+2)/x))))+3*exp(x)*x**2)/exp(x)/x**2,x)
Sympy 1.10.1 under Python 3.10.4 output
\[ x - e^{- x} e^{e^{e^{\frac {e^{\frac {2 - x^{2}}{x}}}{3}}}} \]
Sympy 1.8 under Python 3.8.8 output
\[ \text {Timed out} \]________________________________________________________________________________________