\[ \int \frac {\sqrt {c+d x}}{(a+b x)^3} \, dx \]
Optimal antiderivative \[ \frac {d^{2} \arctanh \left (\frac {\sqrt {b}\, \sqrt {d x +c}}{\sqrt {-a d +b c}}\right )}{4 b^{\frac {3}{2}} \left (-a d +b c \right )^{\frac {3}{2}}}-\frac {\sqrt {d x +c}}{2 b \left (b x +a \right )^{2}}-\frac {d \sqrt {d x +c}}{4 b \left (-a d +b c \right ) \left (b x +a \right )} \]
command
integrate((d*x+c)**(1/2)/(b*x+a)**3,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 \[ \text {Timed out} \]_____________________________________________________