1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: 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

    User Avatar
    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.)
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook