## Calculus 8th Edition

$-e^{2}$
We use Equation 7 from the text (a modification of Euler's formula), $e^{x+iy}=e^x(\cos{y}+i\sin{y})$: $e^{2+i\pi}=e^{2}(\cos\pi+i\sin\pi)=e^{2}(-1+i*0)=e^2(-1)=-e^{2}$