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Evaluate the integral (xy + xy²) dx + (2x² + x²y) dy over the curve C, defined by going in a straight line from (V2, v2) to (1//2, 1//2), from here to (1//2, –1//2) along the circle x2 +y² = 1, then in a straight line to (/2, – V2), then along the circle x² + y² = 4 back to (v2, v2). See the picture.

Evaluate the integral (xy + xy²) dx + (2x² + x²y) dy over the curve C, defined by going in a straight line from (V2, v2) to (1//2, 1//2), from here to (1//2, –1//2) along the circle x2 +y² = 1, then in a straight line to (/2, – V2), then along the circle x² + y² = 4 back to (v2, v2). See the picture.

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 to Evaluate the integral | (ry + xy?) dx + (2a² + x²y) dy over the curve C, defined by going in a straight line from (V2, v2) to (1/v2, 1//2), from here to (1//2, –1/V2) along the circle x2 + y² = 1, then in a straight line to (v2, –V2), then along the circle x² + y² = 4 back to (V2, v2). See the picture.
Transcribed Image Text:2 to Evaluate the integral | (ry + xy?) dx + (2a² + x²y) dy over the curve C, defined by going in a straight line from (V2, v2) to (1/v2, 1//2), from here to (1//2, –1/V2) along the circle x2 + y² = 1, then in a straight line to (v2, –V2), then along the circle x² + y² = 4 back to (V2, v2). See the picture.
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