Attachment 27490

How would I use Green's Theorem to prove this area integral?

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- March 11th 2013, 07:11 PMsdsu619Greens Theorem
Attachment 27490

How would I use Green's Theorem to prove this area integral? - March 11th 2013, 07:43 PMmajaminRe: Greens Theorem
It is a known deduction of Green's Theorem that, for an area of a disc in a plane,

Find an expression of x and y in terms of . and substitute into this equation. The only problem with this method is that this does not use Green's theorem directly, only a major consequence of it. but is probably still valid.

For ,