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Homework Help: Cylindrical shells trouble integrating

  1. Sep 15, 2004 #1
    i'm told to use the method of cylindrical shells to find the volume gnerated by rotating the region bounded these curves about the y axis:
    y=e^(-x^2)
    y=0
    x=0
    x=1
    Couple questions. What does the graph of y=e^(-x^2) look like? Also, i know the integral is =integral(a,b) 2(pi)x*e^(-x^2) how do i evaulate the e^(-x^2) part?
     
  2. jcsd
  3. Sep 15, 2004 #2

    HallsofIvy

    User Avatar
    Science Advisor

    The graph of e-x^2 is the famous "Bell shaped curve"!

    As far as the integral of x e-x^2 is concerned, try the substitution u= -x^2.
     
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