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Thread: applicatios of integration. Volumes. Please help

  1. July 28th 2008, 09:44 PM #1
    eawolbert
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    Exclamation applicatios of integration. Volumes. Please help

    I'm having serious trouble with this one. please help me.

    Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis.

    y=x^4,y=1 about y=6
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  2. July 28th 2008, 10:05 PM #2
    Jhevon
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    Quote Originally Posted by eawolbert View Post
    I'm having serious trouble with this one. please help me.

    Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis.

    y=x^4,y=1 about y=6
    did you draw a diagram? did you identify the inner and outer radius?

    since we are rotating a function of x about a line y = something, we use the disk method. by the disk method, the required volume will be given by:

    V = \pi \int_{-1}^1 \bigg[ (6 - x^4)^2 - 5^2 \bigg]~dx
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