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Changing the order of a triple integration

  1. Apr 5, 2010 #1
    I'm given this definite integral:

    I need to change the order to dydxdz, but I'm stuck trying to get the limits of integration wrt y.



    How do I find the limits of y?
  2. jcsd
  3. Apr 5, 2010 #2


    Staff: Mentor

    Just look at the original iterated integral to see the region over integration occurs.

    z = 0 to z = 1 - y
    y = sqrt(x) to y = 1
    x = 0 to x = 1.

    Sketch that region and it will help you determine the limits of integration for a different order of integration.
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