(adsbygoogle = window.adsbygoogle || []).push({}); 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]

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# Integral of Legendre polynomial

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