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.