2 : Let F = (2x cos(x^2 + y^2), 2 + 2y cos(x^2 + y^2)) and C be the curve joining (-1,-1) to (-1,0) by traveling on the curves y = x^3 from (-1,-1) to (0,0), then y = x^2 from (0,0) to (1,1) and finally on y = − 1/4 (x + 1)(x − 3) from (1,1) to (-1,0). Evaluate ∮C F · dr

2 : Let F = (2x cos(x^2 + y^2), 2 + 2y cos(x^2 + y^2)) and C be the curve joining (-1,-1) to (-1,0) by traveling on the curves y = x^3 from (-1,-1) to (0,0), then y = x^2 from (0,0) to (1,1) and finally on y = − 1/4 (x + 1)(x − 3) from (1,1) to (-1,0). Evaluate ∮C F · dr

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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Question

2 : Let F = (2x cos(x^2 + y^2), 2 + 2y cos(x^2 + y^2)) and C be the curve joining
(-1,-1) to (-1,0) by traveling on the curves y = x^3 from (-1,-1) to (0,0), then
y = x^2 from (0,0) to (1,1) and finally on y = − 1/4 (x + 1)(x − 3) from (1,1) to
(-1,0). Evaluate
∮C F · dr

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