Evaluate the line integral by the two following methods. pxy C is counterclockwise around the rectangle with vertices (0, 0), (4, 0), (4, 1), (0, 1) (a) directly xy dx + x² dy (b) using Green's Theorem

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 26E
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Evaluate the line integral by the two following methods.
fxy dx +
C is counterclockwise around the rectangle with vertices (0, 0), (4, 0), (4, 1), (0, 1)
(a) directly
dx + x² dy
(b) using Green's Theorem
Transcribed Image Text:Evaluate the line integral by the two following methods. fxy dx + C is counterclockwise around the rectangle with vertices (0, 0), (4, 0), (4, 1), (0, 1) (a) directly dx + x² dy (b) using Green's Theorem
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