Given that C = C₁ U C₂ U C3, where C₁ is the line segment from (-1, -1) to (0, 0), C₂ is the line segment from (0, 0) to (-1, 1), and C3 is the portion of the circle x² + y² = 2 from (−1, 1) to (−1, -1) traced counterclockwise. Use Green's Theorem to set up an iterated double integral equal to § (−y³ + x)dx + (x³ + x² )dy.
Given that C = C₁ U C₂ U C3, where C₁ is the line segment from (-1, -1) to (0, 0), C₂ is the line segment from (0, 0) to (-1, 1), and C3 is the portion of the circle x² + y² = 2 from (−1, 1) to (−1, -1) traced counterclockwise. Use Green's Theorem to set up an iterated double integral equal to § (−y³ + x)dx + (x³ + x² )dy.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 44E
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