Use Green's Theorem to find the work done by the force F(x, y) = x(x + y) i + xy^2 j in moving a particle from the origin along
the x-axis to (4, 0), then along the line segment to (0, 4), and then back to the origin along the y-axis.
1 answer:
By Green's theorem, the work done by over the path (call it ) is
(where denotes the region bordered by )
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