(b) By changing to polar coordinates evaluate the double integral J SR y sin (π (x² + y²)) √√√x²+y2 dx dy. Recall that Cartesian and polar coordinates are related by (x, y) = (r cos 0, r sin 0), (1) where r = √√x²+y2, and 0 ≤0<2. You may assume that the Jacobian for the change of variables (1) is given by მ (x, ყ) მ (r, 0) = r.

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