Let C be the closed, piecewise smooth curve formed by traveling in straight lines between the points (-2, 1), (-2, -3), (4, -2), (4, 4), and back to (-2, 1), in that order. Use Green's theorem to evaluate the following integral. (2xy) dx + (xy²) dy

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.4: Ordered Integral Domains
Problem 5E: 5. Prove that the equation has no solution in an ordered integral domain.
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Let C be the closed, piecewise smooth curve formed by traveling in straight lines between the points (-2, 1), (-2, −3), (4, −2), (4,4),
and back to (-2, 1), in that order. Use Green's theorem to evaluate the following integral.
[ (2xy) dx + (xy²) dy
Transcribed Image Text:Let C be the closed, piecewise smooth curve formed by traveling in straight lines between the points (-2, 1), (-2, −3), (4, −2), (4,4), and back to (-2, 1), in that order. Use Green's theorem to evaluate the following integral. [ (2xy) dx + (xy²) dy
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