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Double checking volume

  1. Sep 14, 2013 #1
    1. The problem statement, all variables and given/known data

    Consider the region between the functions f(x) = x^2 and g(x) = 2x in the first quadrant.
    Use the method of cylindrical shells to find the volume generated by rotating about the y axis.
    I did this integral
    V = 2∏∫x(2x-x^2) dx between [0,2]
    I got 2∏((2/3)x^3 - (x^4/4) = 8∏/3

    2. Relevant equations

    I think it is OK just want someone to confirm. Before I turn in.

    3. The attempt at a solution
  2. jcsd
  3. Sep 14, 2013 #2


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    Looks fine to me.
  4. Sep 14, 2013 #3
    Thanks amigo.
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