Question: Using the changes of variable u =x-y and v=x+y, calculate the integral ? ? ( x ? y ) e x 2 ? y 2

Using the changes of variable u =x-y and v=x+y, calculate the integral

??(x?y)ex2?y2dA

where R is the region bounded by the straight lines x+y = 1 and x+y =3, and by the curves x2 -y2= -1 and x2-y2=1 as shown in the following figure

Using the changes of variable u =x-y and v=x+y, calculate the integral??(x?y)ex2?y2dAwhere

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