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Math Help - Change of variables-multiple integrals

  1. #1
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    Change of variables-multiple integrals

    Let R be the re gion enclosed by
    x-y = 0
    x- y = 2
    x + y = 0,
    x + y = 3.
    USING CHANGE OF VARIABLES, evaluate

    \int \int_R(x+y)e^(x^2-y^2) da
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  2. #2
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    R=\left\{ (x,y)\in \mathbb{R}^{2}|0\le x-y\le 2,\,0\le x+y\le 3 \right\}.

    Make the substitution (u,v)=(x-y,x+y) so that 0\le u\le 2 and 0\le v\le3. Don't forget the Jacobian.
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