43.1 Problem number 42

\[ \int e^{-17+e^{\frac {6 x+e^{17} \left (-5+4 x+x^2\right )}{e^{17}}}+\frac {6 x+e^{17} \left (-5+4 x+x^2\right )}{e^{17}}} \left (6+e^{17} (4+2 x)\right ) \, dx \]

Optimal antiderivative \[ 5+{\mathrm e}^{{\mathrm e}^{\left (4+x +6 \,{\mathrm e}^{-17}\right ) x -5}} \]

command

integrate(((2*x+4)*exp(17)+6)*exp(((x^2+4*x-5)*exp(17)+6*x)/exp(17))*exp(exp(((x^2+4*x-5)*exp(17)+6*x)/exp(17)))/exp(17),x, algorithm="giac")

Giac 1.9.0-11 via sagemath 9.6 output

\[ \text {could not integrate} \]

Giac 1.7.0 via sagemath 9.3 output

\[ e^{\left (e^{\left ({\left (x^{2} e^{17} + 4 \, x e^{17} + 6 \, x - 5 \, e^{17}\right )} e^{\left (-17\right )}\right )}\right )} \]