Let C be a simple closed curve. Show that the area enclosed by C is given by 1/2i * integral of conjugate of z over the curve C with respect to z.(adsbygoogle = window.adsbygoogle || []).push({});

the hint says: use polar coordinates

i can prove it for a circle, but i am not sure how to extend it to prove it for any given closed curve

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# Complex analysis - area inside a simple closed curve

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