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Thread: find the area bounded by the curves

  1. #1
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    find the area bounded by the curves

    y=x^4
    y=1
    rotation about the line y=2

    I've tried this numerous times and I just don't get how to do it.

    **edit** I meant to say volume not area
    Last edited by yoman360; Oct 20th 2009 at 05:46 PM.
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  2. #2
    No one in Particular VonNemo19's Avatar
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    Quote Originally Posted by yoman360 View Post
    y=x^4
    y=1
    rotation about the line y=2

    I've tried this numerous times and I just don't get how to do it.
    Start by finding the points of intersection to find the limits of integration. And, by the way, I think that you are to find volume not area. Hence the rotation.

    Then recall washer method:

    V_{solid}=\pi\int_a^b[(R)^2-(r)^2]dx
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  3. #3
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    Quote Originally Posted by VonNemo19 View Post
    Start by finding the points of intersection to find the limits of integration. And, by the way, I think that you are to find volume not area. Hence the rotation.

    Then recall washer method:

    V_{solid}=\pi\int_a^b[(R)^2-(r)^2]dx
    this is what I get:
    points of intersections: (-1,1) & (1,1)
    then
    \pi \int_{-1}^1 [R^2-r^2] dx

    I don't know if thats correct. And how do i find R and r?
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