\[ \int \frac {1}{(1-x)^{11/2} (1+x)^{5/2}} \, dx \]
Optimal antiderivative \[ \frac {1}{9 \left (1-x \right )^{\frac {9}{2}} \left (1+x \right )^{\frac {3}{2}}}+\frac {2}{21 \left (1-x \right )^{\frac {7}{2}} \left (1+x \right )^{\frac {3}{2}}}+\frac {2}{21 \left (1-x \right )^{\frac {5}{2}} \left (1+x \right )^{\frac {3}{2}}}+\frac {8 x}{63 \left (1-x \right )^{\frac {3}{2}} \left (1+x \right )^{\frac {3}{2}}}+\frac {16 x}{63 \sqrt {1-x}\, \sqrt {1+x}} \]
command
integrate(1/(1-x)**(11/2)/(1+x)**(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 \[ \text {Timed out} \]_____________________________________________________