100.23 Problem number 1093

\[ \int e^{158-1000080 x+1562750010 x^2} \left (2000160+e^{-158+1000080 x-1562750010 x^2}-6251000040 x\right ) \, dx \]

Optimal antiderivative \[ x -2 \,{\mathrm e}^{-2+10 \left (4-12501 x \right )^{2}} \]

command

integrate((exp(-781375005*x^2+500040*x-79)^2-6251000040*x+2000160)/exp(-781375005*x^2+500040*x-79)^2,x, algorithm="giac")

Giac 1.9.0-11 via sagemath 9.6 output

\[ x - 2 \, e^{\left (1562750010 \, x^{2} - 1000080 \, x + 158\right )} \]

Giac 1.7.0 via sagemath 9.3 output

\[ \text {Exception raised: TypeError} \]________________________________________________________________________________________