Given the path, * -dx + xe°dy Jc y determine the line integral using Green's theorem if C,is y = x² + 2, with the boundary at the intersection with C2 that is y = x + 3. Finally, C3 traverses the y-axis to intersect C1. A. 40.4645 sq. units B. 43.1962 sq. C. 41.3013 sq. units D. Diverging .units

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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Given the path,
-dx + xe³dy
y
determine the line integral using Green's theorem if C,is y = x² + 2, with the boundary at the intersection with C2 that is
y = x + 3. Finally, C3 traverses the y-axis to intersect C.
A. 40.4645 sq. units
B. 43.1962 sq. units
C. 41.3013 sq. units
D. Diverging
Transcribed Image Text:Given the path, -dx + xe³dy y determine the line integral using Green's theorem if C,is y = x² + 2, with the boundary at the intersection with C2 that is y = x + 3. Finally, C3 traverses the y-axis to intersect C. A. 40.4645 sq. units B. 43.1962 sq. units C. 41.3013 sq. units D. Diverging
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