Question: The task is to evaluate the integral De x 2 y 2 dA int _ D e ^ { - x ^ 2 -

The task is to evaluate the integral Dex2y2dA\int_D e^{-x^2-y^2}\, dADex2y2dA, where DDD is the region bounded by the semicircle x=16y2x =\sqrt{16- y^2}x=16y2 using polar coordinates.

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