Question

Evaluate the flow integral of the velocity field F = (x + y)ˆi + (x2 + y2)ˆj along each of the following paths from (1, 0) to (−1, 0) in the xy-plane
(i) the upper half of the circle x2 + y2 = 1,
(ii) the line segment from (1, 0) to (−1, 0),
(iii) the line segment from (1, 0) to (0, −1) followed by (0, −1) to (−1, 0).

Answer 1

Answer:

i)

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