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Use the Given Transformation to Evaluate the Integral ∬R(x+y)dA\iint _ { R } ( x + y ) d A

Question 108

Short Answer

Use the given transformation to evaluate the integral.
∬R(x+y)dA\iint _ { R } ( x + y ) d A , where RR is the square with vertices (0,0),(4,6),(6,−4),(10,2)( 0,0 ) , ( 4,6 ) , ( 6 , - 4 ) , ( 10,2 ) and
x=4u+6v,y=6u−4vx = 4 u + 6 v , y = 6 u - 4 v

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