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--[[User:Jmason|John Mason]]
 
--[[User:Jmason|John Mason]]
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Why couldn't you substitute x^2+1 for u and say x^2 = u-1.  then, distribute and just use the power rule.  There is no need for trig substitution for this.

Revision as of 10:39, 1 November 2008

I have been working out some cases where I can't integrate through trigonometric substitutions (or at least, not easily) but I can using hyperbolic functions. See if you can solve

$ \int x^2\sqrt{x^2+1}dx $

Special points if you can solve it using trig functions.

The method and thought process

Identities you will need

--John Mason

Why couldn't you substitute x^2+1 for u and say x^2 = u-1. then, distribute and just use the power rule. There is no need for trig substitution for this.

Alumni Liaison

Ph.D. 2007, working on developing cool imaging technologies for digital cameras, camera phones, and video surveillance cameras.

Buyue Zhang