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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.

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