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MathGroup Archive 2005

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Re: Re: Contour Integration

  • To: mathgroup at smc.vnet.net
  • Subject: [mg53991] Re: [mg53977] Re: Contour Integration
  • From: DrBob <drbob at bigfoot.com>
  • Date: Sun, 6 Feb 2005 00:45:03 -0500 (EST)
  • References: <200502050817.DAA22313@smc.vnet.net>
  • Reply-to: drbob at bigfoot.com
  • Sender: owner-wri-mathgroup at wolfram.com

Symbolic answers may be very tough, but NIntegrate returns a numeric answer immediately:

NIntegrate[1/((1 + x^2)^(3/2)*
     Sqrt[1 + (4*x^2)/
        (3*(1 + x^2)^2) +
       Sqrt[1 + (4*x^2)/
          (3*(1 + x^2)^2)]]),
   {x, 0, Infinity}]

0.6663771142687976

Bobby

On Sat, 5 Feb 2005 03:17:45 -0500 (EST), Dominic Milioto <dmilioto at sw.rr.com> wrote:

> I'm interested in evaluating a definite integral using complex
> contour.  The integrand is 1/(a nested radical) with no real zeros.
> It's posted in the Physics Forum at:
>
> http://www.physicsforums.com/showthread.php?t=61576
>
> (scroll down, someone presents it more precisely)
>
> Is this integral ammendable to complex contours?
>
> Thank You,
> Dominic Milioto
>
>
>
>



-- 
DrBob at bigfoot.com
www.eclecticdreams.net


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