Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
Given the vector field \( \vec{F} = 2(x + y) \, \vec{i} + \sin(y) \, \vec{j} \), find the line integral of \( \vec{F} \) around the perimeter of the rectangle with corners \( (4, 0), (4, 8), (-2, 8), (-2, 0) \), traversed in that order. **Line Integral:** \(\square\)
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Transcribed Image Text:Given the vector field \( \vec{F} = 2(x + y) \, \vec{i} + \sin(y) \, \vec{j} \), find the line integral of \( \vec{F} \) around the perimeter of the rectangle with corners \( (4, 0), (4, 8), (-2, 8), (-2, 0) \), traversed in that order. **Line Integral:** \(\square\)
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