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Homework Help: Change of variable in double integrals

  1. Apr 18, 2007 #1


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    Nevermind (figured it out, sorry)

    1. The problem statement, all variables and given/known data
    Evaluate the integral [tex]\int{\int_T{e^\frac{y-x}{y+x} dA}}[/tex]
    where T is the triangle with vertices (0,0), (1,0), 0,1)

    a) By transforming to polar coordiantes
    b) By using the transformation u = y-x, v = y+x

    2. Relevant equations
    3. The attempt at a solution
    http://folk.ntnu.no/bronner/m.mht [Broken]

    I know the differentiation in a) is wrong. (should be -2cos2x)
    Last edited by a moderator: May 2, 2017
  2. jcsd
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