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Let C be the closed, piecewise smooth curve formed by traveling in straight lines between the points (-4, 2), (-4, -3), (2, -2), (2, 7), and back to (-4, 2), in that order. Use Green's theorem to evaluate the following integral. (2xy) dx + (xy2) dy

Let C be the closed, piecewise smooth curve formed by traveling in straight lines between the points (-4, 2), (-4, -3), (2, -2), (2, 7), and back to (-4, 2), in that order. Use Green's theorem to evaluate the following integral. (2xy) dx + (xy2) dy

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let C be the closed, piecewise smooth curve formed by traveling in straight lines between the points (−4, 2), (−4, −3), (2, −2), (2, 7), and back to (−4, 2), in that order. Use Green's theorem to evaluate the following integral. √ (2xY) (2xy) dx + (xy2) dy
Transcribed Image Text:Let C be the closed, piecewise smooth curve formed by traveling in straight lines between the points (−4, 2), (−4, −3), (2, −2), (2, 7), and back to (−4, 2), in that order. Use Green's theorem to evaluate the following integral. √ (2xY) (2xy) dx + (xy2) dy
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