Study guide and 1 practice problem on:

## Green's theorem

If $\bfF = L(x,y) \bfi + M(x,y) \bfj$ is differentiable inside a closed and positively oriented curve $C$, then $$\oint_C L(x,y) dx + M(x,y) dy = \iint_D \bigl( \partial_x M(x,y) - \partial_y L(x,y) \bigr) dxdy,$$ where $D$ is the region inside $C$.