Use Green's Theorem to evaluate F = (√x + 3y, 2x + 3y) [F.ñ ds, where C and C is the boundary of the region enclosed by y = 2x x² and the x-axis (oriented positively).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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6.4.8

Use Green's Theorem to evaluate
F
=
(√x + 3y, 2x + 3y)
LF
F.nds, where
and C is the boundary of the region enclosed by y
=
2x - x² and the x-axis (oriented positively).
Transcribed Image Text:Use Green's Theorem to evaluate F = (√x + 3y, 2x + 3y) LF F.nds, where and C is the boundary of the region enclosed by y = 2x - x² and the x-axis (oriented positively).
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