[Solution] Use green's theorem to evaluate integral. Assume that the curve C is oriented counterclockwise. \oint_Cx cos ydx-y sin xdy where C is the square


Question: Use green's theorem to evaluate integral. Assume that the curve \(C\) is oriented counterclockwise.

\(\oint_{C}{x}\cos ydx-y\sin xdy\)

where \(C\) is the square w/ vertices \((0,0),(\pi / 2,0),(\pi / 2, \pi / 2)\) and \((0, \pi / 2)\)

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