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Homework Help: Shell Method Question - Where am I wrong?

  1. Mar 23, 2012 #1
    1. The problem statement, all variables and given/known data

    Find the volume of the solid created when the area between the function y=xe0.5x and the x-axis (for 0≤x≤2) is rotated about the line x=-2

    2. Relevant equations

    Shell Method: Vs = ∫ 2∏r * f(x)

    3. The attempt at a solution

    r = x + 2

    r * f(x) = x2e0.5x + 2xe0.5x

    Thus, 2∏∫ (x2e0.5x + 2xe0.5x)dx {from 0 to 2}

    My final answer is 16∏(e1 - 1) ≈ 86.3703

    Did I make a mistake somewhere?
  2. jcsd
  3. Mar 23, 2012 #2


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    It looks correct.
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