Use Green's Theorem to evaluate the line integral. Orient the curve counterclockwise unless otherwse indicated.

\(\oint_{C} x^{2} y d x\), where \(C\) is the unit circle centered at the origin

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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 $o F1 dx + F2 dy 1 (F2-F) da dA = ay 2