Use Green 's Theorem to evaluate the line integral Orient the curve counterclockwise unless otherwse indicated C x y d x ( x 2 x ) d y C x y d x ( x 2 x ) d y , where C C is the path in Figure 17 THEOREM 1 Green's Theorem Let D be a domain whose boundary 3D is a simple closed curve, oriented counte...

SOLUTION Let D be the given path together with its interior In the given function P x y a ...

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

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

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$\int_{C} x y d x + (x^{2} + x) d y$ , where $C$ is the path in Figure 17

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

Question:

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

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SOLUTION Let D be the given path together with its interior In the given function P x y a...View the full answer

Calculus

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