legendre integration with derivative terms












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I want to prove that integration from -1 to 1 (1-x^2)p'n(x)p'n(x)dx = 2n(n+1)/(2n+1)



I substituted some recurrence relations but got stuck at evaluating the integral of x^2p'p .. how can i deal with the derivative in this case?










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    0












    $begingroup$


    I want to prove that integration from -1 to 1 (1-x^2)p'n(x)p'n(x)dx = 2n(n+1)/(2n+1)



    I substituted some recurrence relations but got stuck at evaluating the integral of x^2p'p .. how can i deal with the derivative in this case?










    share|cite|improve this question









    $endgroup$















      0












      0








      0





      $begingroup$


      I want to prove that integration from -1 to 1 (1-x^2)p'n(x)p'n(x)dx = 2n(n+1)/(2n+1)



      I substituted some recurrence relations but got stuck at evaluating the integral of x^2p'p .. how can i deal with the derivative in this case?










      share|cite|improve this question









      $endgroup$




      I want to prove that integration from -1 to 1 (1-x^2)p'n(x)p'n(x)dx = 2n(n+1)/(2n+1)



      I substituted some recurrence relations but got stuck at evaluating the integral of x^2p'p .. how can i deal with the derivative in this case?







      legendre-polynomials






      share|cite|improve this question













      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked Jan 19 at 19:32









      user635977user635977

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