\[ \int \frac {e^{-\frac {180 x^3}{(-1+x) \log (x)}} \left (-180 x^2+180 x^3+\left (540 x^2-360 x^3\right ) \log (x)\right )}{\left (1-2 x+x^2\right ) \log ^2(x)} \, dx \]
Optimal antiderivative \[ {\mathrm e}^{\frac {180 x^{3}}{\ln \left (x \right ) \left (1-x \right )}} \]
command
integrate(((-360*x**3+540*x**2)*ln(x)+180*x**3-180*x**2)*exp(-180*x**3/(-1+x)/ln(x))/(x**2-2*x+1)/ln(x)**2,x)
Sympy 1.10.1 under Python 3.10.4 output
\[ \text {Exception raised: TypeError} \]
Sympy 1.8 under Python 3.8.8 output
\[ e^{- \frac {180 x^{3}}{\left (x - 1\right ) \log {\left (x \right )}}} \]