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Mathematica is not very clever

  • To: mathgroup at smc.vnet.net
  • Subject: [mg53022] Mathematica is not very clever
  • From: Karl_boehme_9 at msn.com (Klaus G)
  • Date: Mon, 20 Dec 2004 06:34:42 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

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.


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