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Double Integral: trouble manipulating algebra

  1. Jul 23, 2008 #1
    1. The problem statement, all variables and given/known data

    [tex]\int\int e^(^x^2^+^y^2^) dA[/tex] where D is the region bounded by y = sqrt(1-x^2) and y = |x|.

    2. Relevant equations

    3. The attempt at a solution

    Obviously I can draw this region out and see what it looks like, and I will have to split the integral into two for negative and positive x, however, I set up my ranges:

    x <= y <= sqrt (1-x^2) and 0 <= x <= 1/sqrt(2) for the first quadrant, and I still do not know how to integrate the function e^(x^2+y^2) in a 'nice' way. I even tried reversing the variables, but it didn't make a difference since the function is symmetric in x and y.
  2. jcsd
  3. Jul 23, 2008 #2
    Nevermind... this needs to be done with polar co-ordinates.

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