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Math Help - help evaluating an integral

  1. #1
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    help evaluating an integral

    How would you solve this question?
    Evaluate ∫∫ e* (y-x)/(y+x)dxdy over the region in the xy plane bounded by x + y = 4, x + y = 2, the x-axis and the y-axis.

    How would you draw ?
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  2. #2
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    Quote Originally Posted by student123 View Post
    How would you solve this question?
    Evaluate ∫∫ e* (y-x)/(y+x)dxdy over the region in the xy plane bounded by x + y = 4, x + y = 2, the x-axis and the y-axis.

    How would you draw ?
    I suggest a change of variable: u = y - x and v = y + x.

    You get a nice region in the uv-plane and the integrations appear straightforward. Don't forget to include the Jacobian of the transformation.
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