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.