[See Solution] Let σ be a closed curve enclosing a region R. Use Green's Theorem to show Area;(R)=1/2 \oint_σ x d y-y d
Question: Let \(\sigma\) be a closed curve enclosing a region \(R\). Use Green's Theorem to show
\[\operatorname{Area}(R)=\frac{1}{2} \oint_{\sigma} x d y-y d x\]
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