Solve the Problem $\int _ { C } f ( x , y ) d x + g ( x , y ) d y$

Essay

Solve the problem.
-Consider the counterclockwise integral $\int _ { C } f ( x , y ) d x + g ( x , y ) d y$ where $C$ is a closed path in a region where
Green's Theorem applies. To evaluate the integral, should one use the flux-divergence form or the circulation-flow form of Green's theorem? Explain.