# Determining the limits of integration

1. Jun 29, 2010

### ahmetbaba

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$$\leq z$$$$\ leq9-x^3 0[tex]\leq y$$$$\leq2-x^2 0[tex]\leq x$$$$\leq$$?

This may be trivial and something really easy, but I don't know this particular solution. Thanks for the help

2. Jun 30, 2010

### 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).

3. Jun 30, 2010

### HallsofIvy

Staff Emeritus
No, your first post said specifically "x is equal to or bigger than 0".