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Double Integration Check

  1. Jan 8, 2010 #1
    More of a check

    1. The problem statement, all variables and given/known data
    Evaluate [tex]\int\int (x^{2}(y+1) + e^{y})[/tex] for a triangle with vertices at (0,0) (1,1) (-1,1)

    2. Relevant equations

    3. The attempt at a solution
    The only this I wanted to check, is that integrating the square at y=0 to 1 and x=0 to 1 will give the correct answer (as the triangle is reflected on the y axis) and if not, how you get the limits.
  2. jcsd
  3. Jan 8, 2010 #2


    Staff: Mentor

    I don't see how "integrating the square at y = 0 to 1 and x = 0 to 1" relates to this problem, even if it happens to produce the right answer.

    If you integrate first with respect to x and then with respect to y, your limits of integration will be x = - y to x = y, and then y = 0 to y = 1.
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