\[ \int \frac {-240 e^2+e^{6 x} \left (240 x-2 x^3\right )+e^3 \left (-240 x+2 x^3\right )+e^{2 x} \left (e^2 \left (720 x-6 x^3\right )+e \left (480+4 x^3\right )\right )+e^{4 x} \left (-240-4 x^3+e \left (-720 x+6 x^3\right )\right )}{e^{\frac {120}{x^2}+6 x} x^6+e^{\frac {120}{x^2}+4 x} \left (-3 x^5-3 e x^6\right )+e^{\frac {120}{x^2}+2 x} \left (3 x^4+6 e x^5+3 e^2 x^6\right )+e^{\frac {120}{x^2}} \left (-x^3-3 e x^4-3 e^2 x^5-e^3 x^6\right )} \, dx \]
Optimal antiderivative \[ \frac {{\mathrm e}^{-\frac {120}{x^{2}}}}{\left (x +\frac {1}{{\mathrm e}-{\mathrm e}^{2 x}}\right )^{2}} \]
command
integrate(((-2*x^3+240*x)*exp(x)^6+((6*x^3-720*x)*exp(1)-4*x^3-240)*exp(x)^4+((-6*x^3+720*x)*exp(1)^2+(4*x^3+480)*exp(1))*exp(x)^2+(2*x^3-240*x)*exp(1)^3-240*exp(1)^2)/(x^6*exp(60/x^2)^2*exp(x)^6+(-3*x^6*exp(1)-3*x^5)*exp(60/x^2)^2*exp(x)^4+(3*x^6*exp(1)^2+6*x^5*exp(1)+3*x^4)*exp(60/x^2)^2*exp(x)^2+(-x^6*exp(1)^3-3*x^5*exp(1)^2-3*x^4*exp(1)-x^3)*exp(60/x^2)^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 \[ \text {Timed out} \]_______________________________________________________