- #1
sweetvirgogirl
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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.
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
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