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Evaluate Rsin(x+y)cos(xy)dA\iint _ { R } \frac { \sin ( x + y ) } { \cos ( x - y ) } d A

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Evaluate Rsin(x+y)cos(xy)dA\iint _ { R } \frac { \sin ( x + y ) } { \cos ( x - y ) } d A ,where R is the rectangular region bounded by the lines x + y = 0, x+y=π2x + y = \frac { \pi } { 2 } , x - y = 0, and xy=π4x - y = \frac { \pi } { 4 } .


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