Question: Use Greens Theorem to prove the change of variables formula for a double integral (Formula 15.9.9) for the case where f (x, y) = 1:

Use Green’s Theorem to prove the change of variables formula for a double integral (Formula 15.9.9) for the case where f (x, y) = 1:

Ә(х, у) du dv д(и, о) f dz dy = ff

Here R is the region in the xy-plane that corresponds to the region S in the uv-plane under the transformation given by x = g(u, v), y = h(u, v).

(, ) du dv (, ) f dz dy = ff

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