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Re: mathematica errors

  • To: mathgroup at smc.vnet.net
  • Subject: [mg94695] Re: [mg94655] mathematica errors
  • From: Bob Hanlon <hanlonr at cox.net>
  • Date: Sat, 20 Dec 2008 06:23:13 -0500 (EST)
  • Reply-to: hanlonr at cox.net

$Version

7.0 for Mac OS X x86 (64-bit) (November 11, 2008)

Returns unevaluated:

Integrate[1/(1 + (Tan[x]^Sqrt[2])), {x, 0, Pi/2}]

Integrate[1/(Tan[x]^Sqrt[2] + 1), {x, 0, Pi/2}]

soln = NIntegrate[1/(1 + (Tan[x]^Sqrt[2])), {x, 0, Pi/2}]

0.785398

Pi*RootApproximant[soln/Pi]

Pi/4


Bob Hanlon

---- alan2 <hong_alan at smc.edu> wrote: 

=============
A few years ago I evaluated Int(0,pi/2,1/[1+(tan(x)^sqrt(2))] with mathematica and got a beautiful but wrong answer.  If you ask it to approximate it numerically it gives the correct approximation of pi/4.  Have they corrected this and what is going on?


--

Bob Hanlon



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