Use Green's Theorem to evaluate the line integral along the given curve. [xy xy ²dx + 5x²ydy C is the triangle formed by the segments from (0, 0) to (2, 4), from (2, 4) to (2, 2), and from (2, 2) to (0, 0) "the integral over C of (xy^2) with respect to x plus (5x^2y) with respect to y" [xy²dx xy²dx + 5x²ydy

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Use Green's Theorem to evaluate the line integral along the given curve.
[xy²d
C
‚²dx+5x²ydy
C is the triangle formed by the segments from (0, 0) to (2, 4), from (2, 4) to (2, 2), and from (2, 2) to (0, 0)
"the integral over C of (xy^2) with respect to x plus (5x^2y) with respect to y"
£xy ²
с
²dx + 5x²ydy
Transcribed Image Text:Use Green's Theorem to evaluate the line integral along the given curve. [xy²d C ‚²dx+5x²ydy C is the triangle formed by the segments from (0, 0) to (2, 4), from (2, 4) to (2, 2), and from (2, 2) to (0, 0) "the integral over C of (xy^2) with respect to x plus (5x^2y) with respect to y" £xy ² с ²dx + 5x²ydy
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