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MathGroup Archive 2004

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Re: Help with Nitegrate

  • To: mathgroup at smc.vnet.net
  • Subject: [mg46213] Re: [mg46189] Help with Nitegrate
  • From: Anton Antonov <antonov at wolfram.com>
  • Date: Thu, 12 Feb 2004 07:15:42 -0500 (EST)
  • References: <200402100506.AAA04053@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Someone wrote:

>I am trying to use the numerical integration function to find evaluate this 
>integeral:
>NIntegrate[Exp[-2.68317^2/(4* sig)]*Erfc[Sqrt[(1000 - 1)/(1000 - 
>sig)]*((1.07327/
>        2) + (sig - 1)/(2*0.000132817))]/(sig^(1.5)), { sig, 1, 1000}].
>
>I am getting all sorts of error messages particularly that the integral is 
>not numerical at some points in the interval. I've tried all the options 
>possible and no success.  Any ideas?
>
>_________________________________________________________________
>Check out the great features of the new MSN 9 Dial-up, with the MSN Dial-up 
>Accelerator. http://click.atdmt.com/AVE/go/onm00200361ave/direct/01/
>  
>
Which version of Mathematica you are using? With the version 5.0.1 we 
get the following

In[114]:=
$Version
$ReleaseNumber

Out[114]=5.0 for Linux (November 18, 2003)

Out[115]=1

In[113]:=
NIntegrate[
  Exp[-2.683172/(4*sig)]*
    Erfc[Sqrt[(1000-1)/(1000-sig)]*((1.07327/
                  2)+(sig-1)/(2*0.000132817))]/(sig^(1.5)),{sig,1,1000},
  MaxRecursion\[Rule]200]

Out[113]=
0.0000248065

-- 
======================
Anton Antonov 
Wolfram Research, Inc.
======================


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