\[ \int \frac {(d+e x)^5}{\left (c d^2+2 c d e x+c e^2 x^2\right )^3} \, dx \]
Optimal antiderivative \[ \frac {\ln \left (e x +d \right )}{c^{3} e} \]
command
integrate((e*x+d)^5/(c*e^2*x^2+2*c*d*e*x+c*d^2)^3,x, algorithm="giac")
Giac 1.9.0-11 via sagemath 9.6 output
\[ \frac {e^{\left (-1\right )} \log \left ({\left | x e + d \right |}\right )}{c^{3}} \]
Giac 1.7.0 via sagemath 9.3 output
\[ \text {Exception raised: NotImplementedError} \]________________________________________________________________________________________