\[ \int \frac {e^{\frac {15+e^{e^{-4+x}} (-15+3 x)}{-12+e-3 x}} \left (45+e^{e^{-4+x}} \left (-81+3 e+e^{-4+x} \left (180+9 x-9 x^2+e (-15+3 x)\right )\right )\right )}{144+e^2+e (-24-6 x)+72 x+9 x^2} \, dx \]
Optimal antiderivative \[ {\mathrm e}^{\frac {{\mathrm e}^{{\mathrm e}^{-4+x}} \left (5-x \right )-5}{4+x -\frac {{\mathrm e}}{3}}} \]
command
integrate(((((3*x-15)*exp(1)-9*x^2+9*x+180)*exp(x-4)+3*exp(1)-81)*exp(exp(x-4))+45)*exp(((3*x-15)*exp(exp(x-4))+15)/(exp(1)-3*x-12))/(exp(1)^2+(-6*x-24)*exp(1)+9*x^2+72*x+144),x, algorithm="giac")
Giac 1.9.0-11 via sagemath 9.6 output
\[ e^{\left (-\frac {3 \, x e^{\left (e^{\left (x - 4\right )}\right )}}{3 \, x - e + 12} + \frac {15 \, e^{\left (e^{\left (x - 4\right )}\right )}}{3 \, x - e + 12} - \frac {15}{3 \, x - e + 12}\right )} \]
Giac 1.7.0 via sagemath 9.3 output
\[ \int -\frac {3 \, {\left ({\left ({\left (3 \, x^{2} - {\left (x - 5\right )} e - 3 \, x - 60\right )} e^{\left (x - 4\right )} - e + 27\right )} e^{\left (e^{\left (x - 4\right )}\right )} - 15\right )} e^{\left (-\frac {3 \, {\left ({\left (x - 5\right )} e^{\left (e^{\left (x - 4\right )}\right )} + 5\right )}}{3 \, x - e + 12}\right )}}{9 \, x^{2} - 6 \, {\left (x + 4\right )} e + 72 \, x + e^{2} + 144}\,{d x} \]________________________________________________________________________________________