\[ \int \frac {x^2}{(d+e x) \left (d^2-e^2 x^2\right )^{3/2}} \, dx \]
Optimal antiderivative \[ \frac {2}{3 e^{3} \sqrt {-e^{2} x^{2}+d^{2}}}-\frac {x^{2}}{3 d e \left (e x +d \right ) \sqrt {-e^{2} x^{2}+d^{2}}} \]
command
integrate(x^2/(e*x+d)/(-e^2*x^2+d^2)^(3/2),x, algorithm="giac")
Giac 1.9.0-11 via sagemath 9.6 output
\[ \text {could not integrate} \]
Giac 1.7.0 via sagemath 9.3 output
\[ +\infty \]