\[ \int \frac {\log (x) \log ^2(\log (x))+e^{\frac {3 x}{\log (\log (x))}} (-3+3 \log (x) \log (\log (x)))}{\log (x) \log ^2(\log (x))} \, dx \]
Optimal antiderivative \[ {\mathrm e}^{\frac {3 x}{\ln \left (\ln \left (x \right )\right )}}+x \]
command
integrate(((3*ln(x)*ln(ln(x))-3)*exp(3/2*x/ln(ln(x)))**2+ln(x)*ln(ln(x))**2)/ln(x)/ln(ln(x))**2,x)
Sympy 1.10.1 under Python 3.10.4 output
\[ \text {Exception raised: TypeError} \]
Sympy 1.8 under Python 3.8.8 output
\[ x + e^{\frac {3 x}{\log {\left (\log {\left (x \right )} \right )}}} \]