Use Green's Theorem to evaluate the following integral, S (et² +24y³) dx + (8y5 – 24x³) dy where C is the curve that starts at the origin, and then goes along a straight line to the point (√√10,√10), and then along the arc of the circle x² + y² = 20 from the point (√10,√√10) to the point (0, 2√√5), and then along a straight line back to the origin.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 45E
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Use Green's Theorem to evaluate the following integral,
L
(er²
+24y³) dx + (8y5 - 24x³) dy
where C is the curve that starts at the origin, and then goes along a straight line to the point (√10,√10), and then
along the arc of the circle x² + y² = 20 from the point (√10,√√10) to the point (0, 2√√5), and then along a
straight line back to the origin.
Transcribed Image Text:Use Green's Theorem to evaluate the following integral, L (er² +24y³) dx + (8y5 - 24x³) dy where C is the curve that starts at the origin, and then goes along a straight line to the point (√10,√10), and then along the arc of the circle x² + y² = 20 from the point (√10,√√10) to the point (0, 2√√5), and then along a straight line back to the origin.
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