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2. Let closed curve C consist of the line segment from (0, 0) to (2, 1), followed by the line segment from (2, 1) to (-1,1), followed by the piece of y = 2² from (-1,1) to (0,0). Also, let F = ( – 1, x²y²). a) Find F.T ds by integrating F over each piece of C and adding the results.

2. Let closed curve C consist of the line segment from (0, 0) to (2, 1), followed by the line segment from (2, 1) to (-1,1), followed by the piece of y = 2² from (-1,1) to (0,0). Also, let F = ( – 1, x²y²). a) Find F.T ds by integrating F over each piece of C and adding the results.

Advanced Engineering Mathematics
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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2. (continued) b) Find F.T ds by first converting it to a double integral using Greene's Theorem.
Transcribed Image Text:2. (continued) b) Find F.T ds by first converting it to a double integral using Greene's Theorem.
2. Let closed curve C consist of the line segment from (0, 0) to (2, 1), followed by the line segment from (2, 1) to (–1,1), followed by the piece of x² from (-1,1) to (0,0). Also, let F = (– 1, x²y²). y = a) Find F.T ds by integrating F over each piece of C and adding the results.
Transcribed Image Text:2. Let closed curve C consist of the line segment from (0, 0) to (2, 1), followed by the line segment from (2, 1) to (–1,1), followed by the piece of x² from (-1,1) to (0,0). Also, let F = (– 1, x²y²). y = a) Find F.T ds by integrating F over each piece of C and adding the results.
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