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: Triple Integral: Having trouble finding my y bounds

  1. Nov 2, 2008 #1
    1. The problem statement, all variables and given/known data

    [tex]I=\int\int\int_E x^2e^ydV[/tex] where E is bounded by the parabolic cylinder

    z=1-y^2 and the planes z=0 x=1 and x=-1

    I know that the graph is a parabola that opens downwards and that has symmetry wrt the x-axis. It also stretches along the x axis toward + and - infinity.

    Can I get a hint here? :)
     
  2. jcsd
  3. Nov 2, 2008 #2

    Avodyne

    User Avatar
    Science Advisor

    Did you mean
    [tex]I=\int\int\int_E x^2e^y\,dV[/tex] ?
     
  4. Nov 3, 2008 #3

    HallsofIvy

    User Avatar
    Science Advisor

    It's pretty close to being trivial. The parabola z= 1- y2 has z= 0 at y= -1 and y= 1 so projecting down on to xy=plane, we get the square -1< x< 1, -1< y< 1. The z- integral is taken from 0 to 1- y2, the y integral from -1 to 1, and the x integral from -1 to 1.
     
  5. Nov 4, 2008 #4
    I don't see any difference. So yes. :smile:
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook




Loading...