\[ \int \frac {-45-3 x^2+e^{10} \left (-15-x^2\right )+e^x \left (-15-15 x+x^2+x^3\right )+e^{e^5} \left (-9-3 e^{10}+e^x \left (-3-3 x+x^2\right )\right )+\left (-45+6 x+3 x^2+e^{e^5} \left (-9+e^{10} (-3+x)+e^x (-3+x)+3 x\right )+e^{10} \left (-15+2 x+x^2\right )+e^x \left (-15+2 x+x^2\right )\right ) \log \left (\frac {3+e^{10}+e^x}{-15+e^{e^5} (-3+x)+2 x+x^2}\right )}{-45+6 x+3 x^2+e^{e^5} \left (-9+e^{10} (-3+x)+e^x (-3+x)+3 x\right )+e^{10} \left (-15+2 x+x^2\right )+e^x \left (-15+2 x+x^2\right )} \, dx \]
Optimal antiderivative \[ x +x \ln \left (\frac {{\mathrm e}^{x}+{\mathrm e}^{10}+3}{\left (-3+x \right ) \left (x +{\mathrm e}^{{\mathrm e}^{5}}+5\right )}\right ) \]
command
integrate(((((-3+x)*exp(x)+(-3+x)*exp(5)^2+3*x-9)*exp(exp(5))+(x^2+2*x-15)*exp(x)+(x^2+2*x-15)*exp(5)^2+3*x^2+6*x-45)*log((exp(x)+exp(5)^2+3)/((-3+x)*exp(exp(5))+x^2+2*x-15))+((x^2-3*x-3)*exp(x)-3*exp(5)^2-9)*exp(exp(5))+(x^3+x^2-15*x-15)*exp(x)+(-x^2-15)*exp(5)^2-3*x^2-45)/(((-3+x)*exp(x)+(-3+x)*exp(5)^2+3*x-9)*exp(exp(5))+(x^2+2*x-15)*exp(x)+(x^2+2*x-15)*exp(5)^2+3*x^2+6*x-45),x, algorithm="giac")
Giac 1.9.0-11 via sagemath 9.6 output
\[ x \log \left (\frac {e^{20} + 3 \, e^{10} + e^{\left (x + 10\right )}}{x^{2} e^{10} + 2 \, x e^{10} + x e^{\left (e^{5} + 10\right )} - 15 \, e^{10} - 3 \, e^{\left (e^{5} + 10\right )}}\right ) + x \]
Giac 1.7.0 via sagemath 9.3 output
\[ \int -\frac {3 \, x^{2} + {\left (x^{2} + 15\right )} e^{10} - {\left (x^{3} + x^{2} - 15 \, x - 15\right )} e^{x} - {\left ({\left (x^{2} - 3 \, x - 3\right )} e^{x} - 3 \, e^{10} - 9\right )} e^{\left (e^{5}\right )} - {\left (3 \, x^{2} + {\left (x^{2} + 2 \, x - 15\right )} e^{10} + {\left (x^{2} + 2 \, x - 15\right )} e^{x} + {\left ({\left (x - 3\right )} e^{10} + {\left (x - 3\right )} e^{x} + 3 \, x - 9\right )} e^{\left (e^{5}\right )} + 6 \, x - 45\right )} \log \left (\frac {e^{10} + e^{x} + 3}{x^{2} + {\left (x - 3\right )} e^{\left (e^{5}\right )} + 2 \, x - 15}\right ) + 45}{3 \, x^{2} + {\left (x^{2} + 2 \, x - 15\right )} e^{10} + {\left (x^{2} + 2 \, x - 15\right )} e^{x} + {\left ({\left (x - 3\right )} e^{10} + {\left (x - 3\right )} e^{x} + 3 \, x - 9\right )} e^{\left (e^{5}\right )} + 6 \, x - 45}\,{d x} \]________________________________________________________________________________________