Use Green's Theorem to evaluate the line integral around the given closed curve. C ( 3
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Use Green's Theorem to evaluate the line integral around the given closed curve.
∮C(3x+5y−cosy)dx+xsinydy, where C is any closed curve enclosing a region with area 4 , oriented counterclockwise
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THEOREM 1 Green's Theorem Let D be a domain whose boundary 3D is a simple closed curve, oriented counterclockwise. If F and F have continuous partial deriva- tives in an open region containing D, then Fi f F dx + Fdy = - 16 (f/ 16 (352-351) a dA D
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