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Homework Help: Integral of Legendre polynomial

  1. Dec 11, 2009 #1
    1. The problem statement, all variables and given/known data
    In solving a question I got a problem of solving the following integral. Your comments are appreciated.


    2. Relevant equations
    [tex]\int_{-1}^{1}xP_l'(x)dx=?[/tex]


    3. The attempt at a solution
    I tried to solve by integration by parts, i.e.
    [tex]\left{}xP_l(x)\right{|}_{-1}^{1}-\int_{-1}^{1}P_l(x)[/tex] but I can't get the simple solution to [tex]\int_{-1}^{1}P_l(x)[/tex]
     
  2. jcsd
  3. Dec 11, 2009 #2

    gabbagabbahey

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    Homework Helper
    Gold Member

    Hint: the Legendre polynomials satisfy an orthogonality relationship...:wink:
     
  4. Dec 15, 2009 #3
    Thanks a lot for your help.
     
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