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MathGroup Archive 2007

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Integration Question

  • To: mathgroup at smc.vnet.net
  • Subject: [mg75264] Integration Question
  • From: Bob Hanlon <hanlonr at cox.net>
  • Date: Mon, 23 Apr 2007 05:35:25 -0400 (EDT)
  • Reply-to: hanlonr at cox.net

I misplaced the e-mail but I think you asked about this:

expr=1/Sqrt[Sin[u]];

(int1=Integrate[expr,{u,0,Pi/2}])//InputForm

2*EllipticF[Pi/4, 2]

N[int1,15]//Chop//N//InputForm

2.6220575542921196

(int2=Integrate[expr//TrigToExp,{u,0,Pi/2}])//InputForm

(2*Sqrt[Pi]*Gamma[5/4])/Gamma[3/4]

int2//N//InputForm

2.62205755429212


Bob Hanlon



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