\[ \int \frac {e^4 x+e^{\frac {256-32 x^2+x^4}{e^4}} \left (e^4 (-4+x)-256 x^2+64 x^3+16 x^4-4 x^5\right )+e^4 (4-x) \log (4-x)}{e^{5+\frac {2 \left (256-32 x^2+x^4\right )}{e^4}} (-4+x)+e^{5+\frac {256-32 x^2+x^4}{e^4}} (8-2 x) \log (4-x)+e^5 (-4+x) \log ^2(4-x)} \, dx \]
Optimal antiderivative \[ \frac {x \,{\mathrm e}^{-1}}{{\mathrm e}^{\left (x^{2}-16\right )^{2} {\mathrm e}^{-4}}-\ln \left (4-x \right )} \]
command
integrate(((-x+4)*exp(4)*log(-x+4)+((x-4)*exp(4)-4*x^5+16*x^4+64*x^3-256*x^2)*exp((x^4-32*x^2+256)/exp(4))+x*exp(4))/((x-4)*exp(1)*exp(4)*log(-x+4)^2+(-2*x+8)*exp(1)*exp(4)*exp((x^4-32*x^2+256)/exp(4))*log(-x+4)+(x-4)*exp(1)*exp(4)*exp((x^4-32*x^2+256)/exp(4))^2),x, algorithm="giac")
Giac 1.9.0-11 via sagemath 9.6 output
\[ \text {output too large to display} \]
Giac 1.7.0 via sagemath 9.3 output \[ \text {Exception raised: TypeError} \]_______________________________________________________