\[ \int \frac {e^5 \left (-e^{21}-3 x^2\right ) \log (3)}{\left (e^{21} x+x^3\right )^2} \, dx \]
Optimal antiderivative \[ {\mathrm e}^{5+\ln \left (\frac {\ln \left (3\right )}{\left ({\mathrm e}^{21}+x^{2}\right ) x}\right )} \]
command
integrate((-exp(21)-3*x^2)*exp(log(log(3)/(x*exp(21)+x^3))+5)/(x*exp(21)+x^3),x, algorithm="giac")
Giac 1.9.0-11 via sagemath 9.6 output
\[ \text {Exception raised: NotImplementedError} \]
Giac 1.7.0 via sagemath 9.3 output
\[ \frac {e^{5} \log \left (3\right )}{x^{3} + x e^{21}} \]