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Evaluate this integral Sc v – 2x)dy – (yx – x²)dx where C is a curve consisting of C, which is a line from point (-1, -1) to point (1, -1), C2 which is a line from point (1, -1) to point (1,2), C3 which is a line from point (1,2) to point (-1, 4) and C4 which is a line from point (-1, 4) to point (-1, -1) as shown in the following figure: (-1,4), (1,2) (-1,–1) (1,–1)

Evaluate this integral Sc v – 2x)dy – (yx – x²)dx where C is a curve consisting of C, which is a line from point (-1, -1) to point (1, -1), C2 which is a line from point (1, -1) to point (1,2), C3 which is a line from point (1,2) to point (-1, 4) and C4 which is a line from point (-1, 4) to point (-1, -1) as shown in the following figure: (-1,4), (1,2) (-1,–1) (1,–1)

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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Evaluate this integral Sc v – 2x)dy – (yx – x²)dx where C is a curve consisting of C which is a line from point (-1, -1) to point (1, -1), C2 which is a line from point (1, -1) to point (1,2), C3 which is a line from point (1,2) to point (-1, 4) and C4 which is a line from point (-1, 4) to point (-1, -1) as shown in the following figure: (-1,4) (1,2) cat (-1,–1)- (1.-1)
Transcribed Image Text:Evaluate this integral Sc v – 2x)dy – (yx – x²)dx where C is a curve consisting of C which is a line from point (-1, -1) to point (1, -1), C2 which is a line from point (1, -1) to point (1,2), C3 which is a line from point (1,2) to point (-1, 4) and C4 which is a line from point (-1, 4) to point (-1, -1) as shown in the following figure: (-1,4) (1,2) cat (-1,–1)- (1.-1)
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