Use Green's Theorem to evaluate the line integral around the given closed curve. (oint_{C} y^{2} d x-x^{2}
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Use Green's Theorem to evaluate the line integral around the given closed curve.
\(\oint_{C} y^{2} d x-x^{2} d y\), where \(C\) consists of the arcs \(y=x^{2}\) and \(y=\sqrt{x}, 0 \leq x \leq 1\), oriented clockwise
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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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