\[ \int \frac {e^{-\frac {5}{x^4 \log \left (-3 x+2 x^5\right )}} \left (-45+150 x^4+\left (-180+120 x^4\right ) \log \left (-3 x+2 x^5\right )\right )}{\left (-3 x^5+2 x^9\right ) \log ^2\left (-3 x+2 x^5\right )} \, dx \]
Optimal antiderivative \[ 3 \,{\mathrm e}^{-\frac {5}{x^{4} \ln \left (2 x \left (x^{4}-2\right )+x \right )}} \]
command
integrate(((120*x**4-180)*ln(2*x**5-3*x)+150*x**4-45)/(2*x**9-3*x**5)/ln(2*x**5-3*x)**2/exp(5/x**4/ln(2*x**5-3*x)),x)
Sympy 1.10.1 under Python 3.10.4 output
\[ \text {Exception raised: TypeError} \]
Sympy 1.8 under Python 3.8.8 output
\[ 3 e^{- \frac {5}{x^{4} \log {\left (2 x^{5} - 3 x \right )}}} \]