n's Theorem to evaluate the line integral (y - x) dx + (2x - y) dy C wen path. : boundary of the region lying inside the semicircle y = √64 - x² and outside the semicircle y = V 36-x²

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Use Green's Theorem to evaluate the line integral
La
(y - x) dx + (2x - y) dy
for the given path.
C: boundary of the region lying inside the semicircle y
2
=
64 x² and outside the semicircle y =
√ 36x²
Transcribed Image Text:Use Green's Theorem to evaluate the line integral La (y - x) dx + (2x - y) dy for the given path. C: boundary of the region lying inside the semicircle y 2 = 64 x² and outside the semicircle y = √ 36x²
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