\[ \int -\frac {40 e^{e^{\frac {5}{4 \log ^2\left (x^2\right )}}+\frac {5}{4 \log ^2\left (x^2\right )}}}{x \log ^3\left (x^2\right )} \, dx \]
Optimal antiderivative \[ {\mathrm e}^{{\mathrm e}^{\frac {5}{4 \ln \left (x^{2}\right )^{2}}}+3 \ln \left (2\right )} \]
command
integrate(-5*exp(5/4/log(x^2)^2)*exp(exp(5/4/log(x^2)^2)+3*log(2))/x/log(x^2)^3,x, algorithm="giac")
Giac 1.9.0-11 via sagemath 9.6 output
\[ 8 \, e^{\left (\frac {4 \, e^{\left (\frac {5}{4 \, \log \left (x^{2}\right )^{2}}\right )} \log \left (x^{2}\right )^{2} + 5}{4 \, \log \left (x^{2}\right )^{2}} - \frac {5}{4 \, \log \left (x^{2}\right )^{2}}\right )} \]
Giac 1.7.0 via sagemath 9.3 output
\[ \mathit {undef} \]________________________________________________________________________________________