\[ \int \frac {\left (12-3 e^2 x^2\right )^{3/2}}{(2+e x)^{3/2}} \, dx \]
Optimal antiderivative \[ -\frac {6 \left (-e x +2\right )^{\frac {5}{2}} \sqrt {3}}{5 e} \]
command
integrate((-3*e^2*x^2+12)^(3/2)/(e*x+2)^(3/2),x, algorithm="giac")
Giac 1.9.0-11 via sagemath 9.6 output
\[ -\frac {6}{5} \, \sqrt {3} {\left ({\left (x e - 2\right )}^{2} \sqrt {-x e + 2} - 32\right )} e^{\left (-1\right )} \]
Giac 1.7.0 via sagemath 9.3 output
\[ \text {Exception raised: TypeError} \]________________________________________________________________________________________