\[ \int \frac {1}{(-1+x)^{2/3} x^5} \, dx \]
Optimal antiderivative \[ \frac {\left (-1+x \right )^{\frac {1}{3}}}{4 x^{4}}+\frac {11 \left (-1+x \right )^{\frac {1}{3}}}{36 x^{3}}+\frac {11 \left (-1+x \right )^{\frac {1}{3}}}{27 x^{2}}+\frac {55 \left (-1+x \right )^{\frac {1}{3}}}{81 x}+\frac {55 \ln \left (1+\left (-1+x \right )^{\frac {1}{3}}\right )}{81}-\frac {55 \ln \left (x \right )}{243}-\frac {110 \arctan \left (\frac {\left (1-2 \left (-1+x \right )^{\frac {1}{3}}\right ) \sqrt {3}}{3}\right ) \sqrt {3}}{243} \]
command
integrate(1/(-1+x)**(2/3)/x**5,x)
Sympy 1.10.1 under Python 3.10.4 output
\[ \text {output too large to display} \]
Sympy 1.8 under Python 3.8.8 output \[ \text {Timed out} \]_____________________________________________________