\[ \int \frac {1}{x (-a+b x)^{5/2}} \, dx \]
Optimal antiderivative \[ -\frac {2}{3 a \left (b x -a \right )^{\frac {3}{2}}}+\frac {2 \arctan \left (\frac {\sqrt {b x -a}}{\sqrt {a}}\right )}{a^{\frac {5}{2}}}+\frac {2}{a^{2} \sqrt {b x -a}} \]
command
integrate(1/x/(b*x-a)**(5/2),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 \[ \text {Timed out} \]_____________________________________________________