Determining the limits of integration

[ahmetbaba]

Homework Statement

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

Homework Equations

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$$\leq z$$[tex]\ leq9-x^3<br /> <br /> 0$$\leq y$$[tex]\leq2-x^2<br /> <br /> 0$$\leq x$$$$\leq$$? <br /> <br /> This may be trivial and something really easy, but I don't know this particular solution. Thanks for the help[/tex][/tex]

 

[Mark44]

Homework Statement

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

Homework Equations

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.

Fixed your LaTeX below. Click on an expression to see what I did.

$$0 \leq z \leq 9 - x^3$$

$$0 \leq y \leq 2 - x^2$$

$$0 \leq x \leq ?$$

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

If you integrate with respect to x last, I believe that the limits on x are 0 and sqrt(2).

 

[HallsofIvy]

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