\[ \int \frac {(c+d x)^{5/2}}{(a+b x)^2} \, dx \]
Optimal antiderivative \[ \frac {5 d \left (d x +c \right )^{\frac {3}{2}}}{3 b^{2}}-\frac {\left (d x +c \right )^{\frac {5}{2}}}{b \left (b x +a \right )}-\frac {5 d \left (-a d +b c \right )^{\frac {3}{2}} \arctanh \left (\frac {\sqrt {b}\, \sqrt {d x +c}}{\sqrt {-a d +b c}}\right )}{b^{\frac {7}{2}}}+\frac {5 d \left (-a d +b c \right ) \sqrt {d x +c}}{b^{3}} \]
command
integrate((d*x+c)**(5/2)/(b*x+a)**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 \[ \text {Timed out} \]_____________________________________________________