# Thread: set up of tripple integral

1. ## set up of tripple integral

the problem:

Consider the region bounded by the plane z = x and the surface z = x2, and the planes y = 0 and y = 3.

Write an integral to find the volume of the region in the form .

I figured out A=0 B=1 C=0 and D=3 but im not sure how to get E and F
Can someone please explaing to he how i would get them and how to get f(x,y,z)

Thank you!

2. Originally Posted by acosta0809 the problem:

Consider the region bounded by the plane z = x and the surface z = x2, and the planes y = 0 and y = 3.

Write an integral to find the volume of the region in the form .

I figured out A=0 B=1 C=0 and D=3 but im not sure how to get E and F
Can someone please explaing to he how i would get them and how to get f(x,y,z)

Thank you!
As you're trying to find the volume of this, then $\displaystyle f(x,y,z) = 1$, identically. As for the limits. You have it

$\displaystyle \int_0^1 \int_0^3 \int_{x^2}^x 1 \,dz\, dy\, dx$

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