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Evaluate the Integral Rx2x2+y2dA\iint _ { R } \frac { x ^ { 2 } } { x ^ { 2 } + y ^ { 2 } } d A

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Evaluate the integral Rx2x2+y2dA\iint _ { R } \frac { x ^ { 2 } } { x ^ { 2 } + y ^ { 2 } } d A , where RR is the annular region bounded by the circles x2+y2=9x ^ { 2 } + y ^ { 2 } = 9 and x2+y2=16x ^ { 2 } + y ^ { 2 } = 16 , by changing to polar coordinates.

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