83.26 Problem number 751

\[ \int e^{\cos ^2(x)+\sin ^2(x)} \, dx \]

Optimal antiderivative \[ {\mathrm e} x \]

command

integrate(exp(cos(x)^2+sin(x)^2),x, algorithm="giac")

Giac 1.9.0-11 via sagemath 9.6 output

\[ x e \]

Giac 1.7.0 via sagemath 9.3 output

\[ \mathit {sage}_{0} x \]________________________________________________________________________________________