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: Determining the limits of integration

  1. Jun 29, 2010 #1
    1. The problem statement, all variables and given/known data

    Use a triple integral to find the volume of the solid bounded by the graphs of the equations;

    z=9-x3 y=2-x2 y=0 z=0, x is equal to or bigger than 0

    2. Relevant equations

    3. The attempt at a solution

    Well finding the limits for z and y were simple, they are given, however I'm finding trouble finding the upper limit for x.

    0[tex]\leq z [/tex][tex]\ leq9-x^3

    0[tex]\leq y [/tex][tex]\leq2-x^2

    0[tex]\leq x [/tex][tex]\leq[/tex]?

    This may be trivial and something really easy, but I don't know this particular solution. Thanks for the help
  2. jcsd
  3. Jun 30, 2010 #2


    Staff: Mentor

    Fixed your LaTeX below. Click on an expression to see what I did.
    If you integrate with respect to x last, I believe that the limits on x are 0 and sqrt(2).
  4. Jun 30, 2010 #3


    User Avatar
    Science Advisor

    No, your first post said specifically "x is equal to or bigger than 0".
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook