\[ \int \frac {-7+7 x-3 x^2+e^{-4-2 e^x-2 x} \left (-4+3 x+e^x (-4+3 x)\right )+e^{-2-e^x-x} \left (-4+7 x-3 x^2+e^x \left (4 x-3 x^2\right )\right )}{-4+3 x} \, dx \]
Optimal antiderivative \[ x -\ln \left (-4+3 x \right )-\frac {\left (x -{\mathrm e}^{-{\mathrm e}^{x}-x -2}\right )^{2}}{2} \]
command
integrate((((-4+3*x)*exp(x)+3*x-4)*exp(-exp(x)-x-2)^2+((-3*x^2+4*x)*exp(x)-3*x^2+7*x-4)*exp(-exp(x)-x-2)-3*x^2+7*x-7)/(-4+3*x),x, algorithm="giac")
Giac 1.9.0-11 via sagemath 9.6 output
\[ -\frac {1}{2} \, {\left (x^{2} e^{\left (2 \, x + 4\right )} - 2 \, x e^{\left (2 \, x + 4\right )} - 2 \, x e^{\left (x - e^{x} + 2\right )} + 2 \, e^{\left (2 \, x + 4\right )} \log \left (3 \, x - 4\right ) + e^{\left (-2 \, e^{x}\right )}\right )} e^{\left (-2 \, x - 4\right )} \]
Giac 1.7.0 via sagemath 9.3 output
\[ \int -\frac {3 \, x^{2} + {\left (3 \, x^{2} + {\left (3 \, x^{2} - 4 \, x\right )} e^{x} - 7 \, x + 4\right )} e^{\left (-x - e^{x} - 2\right )} - {\left ({\left (3 \, x - 4\right )} e^{x} + 3 \, x - 4\right )} e^{\left (-2 \, x - 2 \, e^{x} - 4\right )} - 7 \, x + 7}{3 \, x - 4}\,{d x} \]________________________________________________________________________________________