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Re: Mathematica is not very clever


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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