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MathGroup Archive 2007

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Re: a old post again

  • To: mathgroup at smc.vnet.net
  • Subject: [mg72760] Re: a old post again
  • From: "dimitris" <dimmechan at yahoo.com>
  • Date: Thu, 18 Jan 2007 05:42:23 -0500 (EST)
  • References: <eol0fe$46m$1@smc.vnet.net>

I assume you mean that Integrate's result is wrong and NIntegrate's is
right.

Dimitris

Ï/Ç Bhuvanesh Ýãñáøå:
> Well, the old result was wrong :)
>
> In[1]:= $Version
>
> Out[1]= 5.0 for Linux (July 10, 2003)
>
> In[2]:= Integrate[(Log[a*x]/Sqrt[1 + x^2])*BesselJ[0, x], {x, 0, Infinity}] //InputForm
>
> Out[2]//InputForm= BesselI[0, 1/2]*BesselK[0, 1/2]*Log[a]
>
> In[3]:= N[% /. a->2]
>
> Out[3]= 0.681436
>
> In[4]:= NIntegrate[(Log[a*x]/Sqrt[1 + x^2])*BesselJ[0, x] /. a->2, {x, 0, Infinity}, Method->Oscillatory]
> 
> Out[4]= -0.316503
> 
> Bhuvanesh,
> Wolfram Research.


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