Let J n dx (x 2 1) n (a) Compute J 1 (b) Use Integration by Parts to prove (c) Use this recursion relation to calculate J 2 and J 3 X Jan 1 (1 2 ) x (2n) (x 1) Jn 2n...

dx x2 1 b Use Integration a J Then and Now S Therefore x x2 11 Jn tan xC by Parts with ...

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

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Let J_n= ∫ dx/(x²+ 1)ⁿ.
(a) Compute J₁.
(b) Use Integration by Parts to prove

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

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Dec 01, 2023 08:03 AM

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

Question:

X Jan+1 = (1 - 2 ) x + (2n) (x² + 1)² Jn 2n

Step by Step Answer:

dx x2 1 b Use Integration a J Then and Now S Therefore x x2 11 Jn tan xC by Parts with ...View the full answer

Calculus

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