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Let R be the region colored in black in the figure below. The two curves bounding...

  1. Let R be the region colored in black in the figure below. The two curves bounding R are the circle x2 + y2 = 1 and the curve described in polar coordinates by the equation r = 2 sin(2θ). Set up but do NOT evaluate a (sum of) double integral(s) in polar coordinates to find the area of R.

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