1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

    LCKurtz

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    It looks correct.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook