Question: Use the recursion relation (6.22) to evaluate (int_{-1}^{1} x P_{n}(x) P_{m}(x) d x, n leq) (m). Data from 6.22 (n+1)Pn+1(x) = (2n+1)xPn(x) - nPn-1(x), n

Use the recursion relation (6.22) to evaluate \(\int_{-1}^{1} x P_{n}(x) P_{m}(x) d x, n \leq\) \(m\).

Data from 6.22

(n+1)Pn+1(x) = (2n+1)xPn(x) - nPn-1(x), n = 1,2,....

(n+1)Pn+1(x) = (2n+1)xPn(x) - nPn-1(x), n = 1,2,....

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