Expert: Paul Klarreich - 5/14/2007

Question
Im having some trouble calculating the integral of 1/[(x+1)sqrt(x^2+a^2-1)] for a>0 from 1 to infinity ???? sos

Answer
Questioner:   mohammed
Category:  Calculus
 
Subject:  funny inverse integral
Question:  Im having some trouble calculating the integral of 1/[(x+1)sqrt(x^2+a^2-1)] for a>0 from 1 to infinity ???? sos
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Hi, Mohammed,

About your integral
         1
---------------------  
(x+1)sqrt(x^2+3^2-1)

Are you sure you have to calculate it?  I don't see an obvious way to actually integrate that, but it might be possible to determine convergence.  It's possible [see the web page for The Integrator by Wolfram] but really messy, and I don't think that's what you want.