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Setting Up Triple Integral

  1. Oct 30, 2011 #1
    1. The problem statement, all variables and given/known data
    Set up the triple integral for the region bounded by:

    [tex]x=y^2, z=0, x+z=1[/tex]


    2. Relevant equations



    3. The attempt at a solution
    [tex] y= ±sqrt(x); z=0 & z=x+1[/tex]
    I'm just lost on how to find the x integral. I know the dz integral goes from [tex]z=0 to z=x+1[/tex], and I know the dy integral goes from [tex]y=-sqrt{x} to +sqrt{x}[/tex]. I also know if we set 0=x+1, we get x=1, but how do I find the remaining limit of integration?
     
  2. jcsd
  3. Oct 30, 2011 #2

    I like Serena

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    Homework Helper

    Hi stratusfactio! :smile:

    Your maximum z is a little off, it should be 1-x.

    As for x, what's wrong with 0 to 1?
    (I suggest you try to make a drawing.)
     
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