\[ \int \frac {e^{2 e^{\frac {8}{-3+3 \log (x)}} x^4+\frac {8}{-3+3 \log (x)}} \left (8 x^4-48 x^4 \log (x)+24 x^4 \log ^2(x)+e^{-\frac {8}{-3+3 \log (x)}} \left (3-6 \log (x)+3 \log ^2(x)\right )\right )}{3-6 \log (x)+3 \log ^2(x)} \, dx \]
Optimal antiderivative \[ {\mathrm e}^{2 x^{4} {\mathrm e}^{-\frac {8}{3-3 \ln \left (x \right )}}} x \]
command
integrate(((3*ln(x)**2-6*ln(x)+3)*exp(-4/(3*ln(x)-3))**2+24*x**4*ln(x)**2-48*x**4*ln(x)+8*x**4)*exp(2*x**4/exp(-4/(3*ln(x)-3))**2)/(3*ln(x)**2-6*ln(x)+3)/exp(-4/(3*ln(x)-3))**2,x)
Sympy 1.10.1 under Python 3.10.4 output
\[ x e^{2 x^{4} e^{\frac {8}{3 \log {\left (x \right )} - 3}}} \]
Sympy 1.8 under Python 3.8.8 output
\[ \text {Timed out} \]________________________________________________________________________________________