\[ \int -\frac {9 e^{\frac {16}{e^2}}}{81 e^8 x+18 e^4 x \log (x)+x \log ^2(x)} \, dx \]
Optimal antiderivative \[ \frac {{\mathrm e}^{16 \,{\mathrm e}^{-2}}}{\frac {\ln \left (x \right )}{9}+{\mathrm e}^{4}} \]
command
integrate(-9*exp(16/exp(1)^2)/(x*log(x)^2+18*x*exp(4)*log(x)+81*x*exp(4)^2),x, algorithm="giac")
Giac 1.9.0-11 via sagemath 9.6 output
\[ \frac {9 \, e^{\left (16 \, e^{\left (-2\right )}\right )}}{9 \, e^{4} + \log \left (x\right )} \]
Giac 1.7.0 via sagemath 9.3 output
\[ \text {Exception raised: NotImplementedError} \]________________________________________________________________________________________