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