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Integral of Associated Legendre polynomial


Hi:

When I give the command

Assuming[n \[Element] Integers,
Integrate[LegendreP[n,2,x]/(1-x^2),{x,-1,1}]]

I get

            LegendreP[n, 2, x]
 Integrate[------------------, {x, -1, 1}]
                      2
                 1 - x

instead of getting n(n+1)(1+(-1)^n)/2

However, if I put specific values of n such as 4,5 etc, I do get the 
correct answer.

Regards

C. S. Jog



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