Use Greens Theorem to evaluate the line integral along the given positively oriented curve. c xy

Question:

Use Green’s Theorem to evaluate the line integral along the given positively oriented curve.

∫_c xy² dx + 2x²y dy,

C is the triangle with vertices (0, 0). (2, 2), and (2, 4)

Data from Green's Theorem

Let C be a positively oriented, piecewise-smooth, simple closed curve in the plane and let D be the region bounded by C. If P and Q have continuous partial derivatives on an open region that contains D, then

If | Pdx + Q dy = D dA

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Calculus

ISBN: 9780495011606

6th Edition

Authors: James Stewart

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Question Posted: Nov 05, 2023 05:12 AM

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Use Greens Theorem to evaluate the line integral along the given positively oriented curve. c xy

Question:

If | Pdx + Q dy = D ах ар ду dA

Step by Step Answer:

Step 1 Parameterize the curve The curve C is a triangle with vertices 0 0 2 2 and 2 4 We can paramet...View the full answer

Calculus

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