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