Compute the line integral: y² dx + x² dy two ways. C
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Let C be the square with vertices (0, 0), (1, 0), (1, 1), and (0, 1) (oriented counter-clockwise).
Compute the line integral: y² dx + x² dy two ways. First, compute the integral directly
by parameterizing each side of the square. Then, compute the answer again using Green's
Theorem.
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