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Volumes of Revolution

  1. Dec 12, 2006 #1
    What is the volume of the figure bounded by y = 2x - x^2, y = 2x, x = 2, and rotated about the line y = -1.

    Is this the correct integral?

    [tex]\[
    V = \pi \int_0^2 {((2x + 1)^2 - (2x - x^2 + 1)^2 } )dx
    \]
    [/tex]

    Thank you for your time.
     
  2. jcsd
  3. Dec 12, 2006 #2
    Yes, your answer is correct.
     
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