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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".
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