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Evaluate R(x+y)ex2y2dA\iint _ { R } ( x + y ) e ^ { x ^ { 2 } - y ^ { 2 } } d A

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Evaluate R(x+y)ex2y2dA\iint _ { R } ( x + y ) e ^ { x ^ { 2 } - y ^ { 2 } } d A ,where R is the rectangular region bounded by the lines x + y = 0, x + y = 1, x - y = 0, and x - y = 1.

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