Define P n (x) by Use the reduction formula in Exercise 64 to prove that P n

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Define Pn(x) by

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

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


Data From Exercise 64

Derive the reduction formula [xedx= xe-n fx=dx

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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