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Circulation form of Green's theorem

Problem

Assume that C is a positively oriented, piecewise smooth, simple, closed curve. Let R be the region enclosed by C.
Use the circulation form of Green's theorem to rewrite \oint, start subscript, C, end subscript, 4, x, natural log, left parenthesis, y, right parenthesis, d, x, minus, 2, d, y as a double integral.
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