\[ \int \frac {e^{-x} \left (-4 e^x x+e^{x^3} \left (-81-18 x-x^2+e^x \left (-81 x-18 x^2+728 x^3-81 x^4-45 x^5-3 x^6\right )\right )+e^{x^3} \left (81 x+18 x^2-242 x^3-54 x^4-3 x^5\right ) \log (x)\right )}{81 x+18 x^2+x^3} \, dx \]
Optimal antiderivative \[ \frac {4}{x +9}+\left (3-x -\ln \left (x \right ) {\mathrm e}^{-x}\right ) {\mathrm e}^{x^{3}} \]
command
integrate(((-3*x**5-54*x**4-242*x**3+18*x**2+81*x)*exp(x**3)*ln(x)+((-3*x**6-45*x**5-81*x**4+728*x**3-18*x**2-81*x)*exp(x)-x**2-18*x-81)*exp(x**3)-4*exp(x)*x)/(x**3+18*x**2+81*x)/exp(x),x)
Sympy 1.10.1 under Python 3.10.4 output
\[ \left (- x e^{x} + 3 e^{x} - \log {\left (x \right )}\right ) e^{- x} e^{x^{3}} + \frac {4}{x + 9} \]
Sympy 1.8 under Python 3.8.8 output
\[ \text {Timed out} \]________________________________________________________________________________________