Let Pk (x) denote the Legendre polynomial of degree k. Let m, n be two distinct...

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Let Pk (x) denote the Legendre polynomial of degree k. Let m, n be two distinct non-negative integers such that m≤n and the difference n-m is divisible by 2. (8a) Using integration by parts and the formula of Rodrigues, show that P(x)/(x) dx = m(m + 1). (8b) Using integration by parts, show that (8c) Furthermore, if m Let Pk (x) denote the Legendre polynomial of degree k. Let m, n be two distinct non-negative integers such that m≤n and the difference n-m is divisible by 2. (8a) Using integration by parts and the formula of Rodrigues, show that P(x)/(x) dx = m(m + 1). (8b) Using integration by parts, show that (8c) Furthermore, if m

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