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MathGroup Archive 2005

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Re: Mathematica is not very clever

  • To: mathgroup at smc.vnet.net
  • Subject: [mg53462] Re: Mathematica is not very clever
  • From: "Astanoff" <astanoff at yahoo.fr>
  • Date: Thu, 13 Jan 2005 03:12:05 -0500 (EST)
  • References: <cq6e2v$2po$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Klaus G wrote:
> Mathematica refuses to compute the following integral:
>
> Integrate [ArcTan[Sqrt[x^2 + 2]]/((x^2 + 1)*Sqrt[x^2 + 2]), {x, 0,
1}]
>
> Why is that?
> The correct result is 5*Pi^2 / 96, which can be proved.
>
> Klaus G.

I wonder why mathematica doesn't provide an engine
(like Plouffe's inverter) to convert a floating-point value
into an exact value...

v.a.


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