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Volume of solid y=-e^(-x^2)?

  1. Jan 29, 2014 #1

    sheldonrocks97

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    Gold Member

    1. The problem statement, all variables and given/known data

    Find the volume of the solid using cylindrical shells:

    y=e-x^2 y=0, x=0, x=1, about y-axis.

    2. Relevant equations

    How do I integrate xe^(-x^2)?

    3. The attempt at a solution

    2∏x∫0 to 1 xe^(-x^2) dx


    2∏*-(e^(-1))/2)
     
  2. jcsd
  3. Jan 29, 2014 #2
    It's actually very easy think of a substitution.
     
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