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MathGroup Archive 2003

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Re: integrat trig radical

  • To: mathgroup at smc.vnet.net
  • Subject: [mg39581] Re: integrat trig radical
  • From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
  • Date: Tue, 25 Feb 2003 02:54:56 -0500 (EST)
  • Organization: Universitaet Leipzig
  • References: <b3ck48$7vs$1@smc.vnet.net>
  • Reply-to: kuska at informatik.uni-leipzig.de
  • Sender: owner-wri-mathgroup at wolfram.com

Hi,

may be that

Plot3D[
  Evaluate[Re[Cos[z/2] /. z -> x + I y]], {x, -2Pi, 2Pi}, {y, -2Pi,
2Pi}]

and

Plot3D[
  Evaluate[Re[Sqrt[(1 + Cos[z])/2] /. z -> x + I y]], {x, -2Pi, 
    2Pi}, {y, -2Pi, 2Pi}]

are not the same ?

Regards
  Jens

Friedrich Laher wrote:
> 
> is there any mathematical reason for mathematica, not 1st internally
> using
> Cos[x/2] = Sqrt[(1 + Cos[x])/2]
> before
> integrating Sqrt[1 + Cos[x]] ?
> It
> even refuses to answer True
> to
> Integrate[Sqrt[1 + Cos[x]],x] == 2*Sqrt[2]*Sin[x/2]
> F.


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