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Math Help - set up of tripple integral

  1. #1
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    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!
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  2. #2
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    Quote Originally Posted by acosta0809 View Post
    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 f(x,y,z) = 1, identically. As for the limits. You have it

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