Let J n = dx/(x 2 + 1) n . (a) Compute J 1 . (b)

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Let J= ∫ dx/(x+ 1)n.
(a) Compute J1.
(b) Use Integration by Parts to prove

X Jan+1 = (1 - 2 ) x + (2n) (x + 1) Jn 2n

(c) Use this recursion relation to calculate Jand J3.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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