Chapter 6.9, Problem 5P

In Problems 2 to 5 use Green’s theorem [formula ( 9.7 )] to evaluate the given integrals.

${\displaystyle {\int }_C\left(y{e}^x-1\right)}dx+e^{x}dy,$ where $C$ is the semicircle through $(0,-10),(10,0),$ and $(0,10)$ (Compare Problem 4.)