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MathGroup Archive 2002

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confusion with triple integral...

  • To: mathgroup at smc.vnet.net
  • Subject: [mg32469] confusion with triple integral...
  • From: Bradley Stoll <BradleyS at Harker.org>
  • Date: Tue, 22 Jan 2002 03:19:49 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

Please consider the Integral[r^2Sin[x]drdxdy] with limits as follows:
[0,2Pi]for y, [0,ArcCos[1/4]] for x and [0,1/Cos[x]] for r.  Mathematica returns
27Pi, which is correct.  But, if instead of using ArcCos[1/4], I use either
ArcCos[0.25] or ArcCos[1/4]//N in the limits, Mathematica returns 43Pi.  Any idea
why?j

Bradley Stoll
San Jose, CA


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