Answer
See the explanation below.
Work Step by Step
Green Theorem States that: suppose $D$ be the region bounded by a curve $C$ (a positively-oriented, piece-wise smooth, simple closed curve).
Let $D$ have $A, B$ continuous partial derivatives on an open region, then
$\int_C\bf F(x,y)=\int_C A dx+Bdy=\int\int_{D}(\frac{\delta B}{\delta x})-(\frac{\delta A}{\delta y})dA$
Here $\bf F(x,y)=\lt A,B\gt$
