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!

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

    User Avatar
    Homework Helper
    Gold Member

    Hint: the Legendre polynomials satisfy an orthogonality relationship...:wink:
     
  4. Dec 15, 2009 #3
    Thanks a lot for your help.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook