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Integration by parts

  1. Oct 10, 2007 #1
    Please,check this question.
    1. The problem statement, all variables and given/known data
    [tex]\int x^7e^{-x^2}[/tex]

    3. The attempt at a solution
    for [tex]u=x^2[/tex]
    [tex]\int \frac{u^3e^{-u}du}{2}=-\frac{u^3e^{-u}}{2}+\int \frac{3e^{-u}u^2du}{2}[/tex]
    [tex]=-\frac{u^3e^{-u}}{2}-\frac{u^2e^{-u}}{2}+\int 3e^{-u}udu[/tex]
    [tex]=-\frac{u^3e^{-u}}{2}-\frac{u^2e^{-u}}{2}-3e^{-u}u+\int 3e^{-u}du[/tex]
    Last edited: Oct 10, 2007
  2. jcsd
  3. Oct 10, 2007 #2


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    Homework Helper

    Good, but you forgot the factor 3 in the second term (and the constant of integration).
  4. Oct 10, 2007 #3
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