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

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

F = [x2ey, y2ex], R the rectangle with vertices (0, 0), (2, 0), (2, 3), (0, 3)

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