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Math Help - volume of rotating region

  1. #1
    jsl
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    volume of rotating region

    Hi! Any help you could give on this one would be great! Thanks!

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

    about the y-axis
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  2. #2
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    Quote Originally Posted by jsl View Post
    Hi! Any help you could give on this one would be great! Thanks!

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

    about the y-axis
    use the method of cylindrical shells ...

    V = 2\pi \int_1^9 x\left(\frac{1}{x^6}\right) \, dx<br />
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  3. #3
    jsl
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    Thank you! That got me the right answer.
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