Define P n (x) by Use the reduction formula in Exercise 64 to prove that P n (x) x n nP n1 (x) Use this recursion relation to find P n (x) for n 1, 2, 3, 4 P 0 (x) 1 Data From Exercise 64 xe dx P xe dx Pn(x) et C

Question: Define P n (x) by Use the reduction formula in Exercise 64 to prove that P n (x) = x n nP n1 (x).

Define P_n(x) by

[xe dx = P xe* dx= Pn(x) et + C

Use the reduction formula in Exercise 64 to prove that P_n(x) = xⁿ − nP_n−1(x). Use this recursion relation to find P_n(x) for n = 1, 2, 3, 4. P₀(x) = 1.

Data From Exercise 64

[xe dx = P xe* dx= Pn(x) et + C

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