\[ \int \frac {e^{-x-\frac {5 x^2}{30+10 x+x^2}} \left (900 x-300 x^2-740 x^3-190 x^4-19 x^5-x^6+e^{\frac {5 x^2}{30+10 x+x^2}} \left (900+600 x+160 x^2+20 x^3+x^4\right )+e^{\frac {5 x^2}{30+10 x+x^2}} \left (-900 x-600 x^2-160 x^3-20 x^4-x^5\right ) \log (x)\right )}{900 x+600 x^2+160 x^3+20 x^4+x^5} \, dx \]
Optimal antiderivative \[ \left (x \,{\mathrm e}^{-\frac {x^{2}}{\frac {\left (5+x \right )^{2}}{5}+1}}+\ln \left (x \right )\right ) {\mathrm e}^{-x}-4 \]
command
integrate(((-x**5-20*x**4-160*x**3-600*x**2-900*x)*exp(5*x**2/(x**2+10*x+30))*ln(x)+(x**4+20*x**3+160*x**2+600*x+900)*exp(5*x**2/(x**2+10*x+30))-x**6-19*x**5-190*x**4-740*x**3-300*x**2+900*x)/(x**5+20*x**4+160*x**3+600*x**2+900*x)/exp(5*x**2/(x**2+10*x+30))/exp(x),x)
Sympy 1.10.1 under Python 3.10.4 output
\[ x e^{- x} e^{- \frac {5 x^{2}}{x^{2} + 10 x + 30}} + e^{- x} \log {\left (x \right )} \]
Sympy 1.8 under Python 3.8.8 output
\[ \text {Timed out} \]________________________________________________________________________________________