Question: 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

Use Green's Theorem to evaluate the line integral around the given closed curve.

THEOREM 1 Green's Theorem Let D be a domain whose boundary 3D $\oint_{C} y^{2} d x-x^{2} d y$, where $C$ consists of the arcs $y=x^{2}$ and $y=\sqrt{x}, 0 \leq x \leq 1$, oriented clockwise

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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To apply Greens Theorem to the line integral ointC y2 dx x2 dy we first need to identify F1 and F2 from the line integral which are the components of ... View full answer

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