\[ \int \frac {40 x+e^{e^{5/x}+x} \left (-20 e^{5/x}+8 x+4 x^2\right )+e^{25 x^2-50 x^3+25 x^4} \left (-4-200 x^2+600 x^3-400 x^4\right )}{e^{50 x^2-100 x^3+50 x^4} x^2-10 e^{25 x^2-50 x^3+25 x^4} x^3+25 x^4+e^{2 e^{5/x}+2 x} x^4+e^{e^{5/x}+x} \left (-2 e^{25 x^2-50 x^3+25 x^4} x^3+10 x^4\right )} \, dx \]
Optimal antiderivative \[ \frac {4}{x \left ({\mathrm e}^{x^{2} \left (5 x -5\right )^{2}}-x \left ({\mathrm e}^{{\mathrm e}^{\frac {5}{x}}+x}+5\right )\right )} \]
command
integrate(((-20*exp(5/x)+4*x^2+8*x)*exp(exp(5/x)+x)+(-400*x^4+600*x^3-200*x^2-4)*exp(25*x^4-50*x^3+25*x^2)+40*x)/(x^4*exp(exp(5/x)+x)^2+(-2*x^3*exp(25*x^4-50*x^3+25*x^2)+10*x^4)*exp(exp(5/x)+x)+x^2*exp(25*x^4-50*x^3+25*x^2)^2-10*x^3*exp(25*x^4-50*x^3+25*x^2)+25*x^4),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 \[ \text {Timed out} \]_______________________________________________________