(New page: 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 <math>...)
 
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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
 
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
  
<math>\int x^2\sqrt{x^2+1}</math>
+
<math>\int x^2\sqrt{x^2+1}dx</math>
  
 
Special points if you can solve it using trig functions.
 
Special points if you can solve it using trig functions.

Revision as of 09:06, 21 October 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

Alumni Liaison

Recent Math PhD now doing a post-doctorate at UC Riverside.

Kuei-Nuan Lin