\[ \int \frac {(d+e x)^3}{\left (c d^2+2 c d e x+c e^2 x^2\right )^3} \, dx \]
Optimal antiderivative \[ -\frac {1}{2 c^{3} e \left (e x +d \right )^{2}} \]
command
integrate((e*x+d)^3/(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
\[ -\frac {e^{\left (-1\right )}}{2 \, {\left (d^{2} + {\left (x^{2} e + 2 \, d x\right )} e\right )} c^{3}} \]
Giac 1.7.0 via sagemath 9.3 output
\[ \text {Exception raised: NotImplementedError} \]________________________________________________________________________________________