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

\(\oint_{C}{{{x}^{2}}ydx+{{y}^{2}}xdy}\) where \(C\) is the boundary of the region in the first quadrant enclosed between the coordinated axes and the circle \(x^{2}+y^{2}=16\).

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