Evaluate C F(r) dr counterclockwise around the boundary C of the region R by Greens

Question:

Evaluate ∫C F(r) • dr counterclockwise around the boundary C of the region R by Green’s theorem, where

F = grad (x3 cos2 (xy)), R as in Prob. 5

Data from Prob. 5

Evaluate ∫C F(r) • dr counterclockwise around the boundary C of the region R by Green’s theorem, where

F = [x2 + y2, x2 - y2], R: 1 ≤ y ≤ 2 - x2

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