Prove the reduction formula for n 2 I cos 1 cosh xdx cosh 1 n x sinh x n 1 Sco n cosh 2 xdx...

Using Integration by Parts with u cosh1 x and dv cosh xdx we have ...

Prove the reduction formula for n 2: I cos 1 cosh xdx = cosh-1 n x

Question:

Prove the reduction formula for n ≥ 2:

I cos cosh" xdx = 1 n cosh-1 x sinh x + n-1 = Sco n cosh" 2 xdx

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Dec 02, 2023 11:14 PM

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Prove the reduction formula for n 2: I cos 1 cosh xdx = cosh-1 n x

Question:

I cos 1 cosh" xdx = cosh"-1 n x sinh x + n-1 ¹=¹ Sco n cosh" 2 xdx

Step by Step Answer:

Using Integration by Parts with u cosh1 x and dv cosh xdx we have ...View the full answer

Calculus

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