\[ \int \frac {144 e^{34}}{16 x^2+e^{16} \left (-24 e^2 x-24 x^2\right )+e^{32} \left (9 e^4+18 e^2 x+9 x^2\right )} \, dx \]
Optimal antiderivative \[ \frac {16 x}{{\mathrm e}^{2}+x -\frac {4 x \,{\mathrm e}^{-16}}{3}} \]
command
integrate(144*exp(2)*exp(16)^2/((9*exp(2)^2+18*exp(2)*x+9*x^2)*exp(16)^2+(-24*exp(2)*x-24*x^2)*exp(16)+16*x^2),x, algorithm="giac")
Giac 1.9.0-11 via sagemath 9.6 output
\[ -\frac {144 \, e^{34}}{{\left (3 \, x e^{16} - 4 \, x + 3 \, e^{18}\right )} {\left (3 \, e^{16} - 4\right )}} \]
Giac 1.7.0 via sagemath 9.3 output
\[ \text {Exception raised: NotImplementedError} \]________________________________________________________________________________________