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Use the Given Transformation to Evaluate the Integral RxydA\iint _ { R } x y d A

question 120

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Use the given transformation to evaluate the integral.
RxydA\iint _ { R } x y d A , where RR is the region in the first quadrant bounded by the lines y=x,y=3xy = x , y = 3 x and the hyperbolas xy=2,xy=4;x=uv,y=vx y = 2 , x y = 4 ; x = \frac { u } { v } , y = v .


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