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Integrate vs. NIntegrate

  • To: mathgroup at
  • Subject: [mg51419] Integrate vs. NIntegrate
  • From: carlos at (Carlos Felippa)
  • Date: Sat, 16 Oct 2004 04:21:20 -0400 (EDT)
  • Sender: owner-wri-mathgroup at

Which one is the correct answer?

f=2+Cos[2 x]+ I*Sin[2 x];

Print[ N[Simplify[ Integrate[Log[f],{x,-Pi,Pi}]/(2*Pi)]] //InputForm];
0.34657359027997264 + 1.5707963267948966*I

Print[            NIntegrate[Log[f],{x,-Pi,Pi}]/(2*Pi)   //InputForm];
0.6931471805599428 + 0.*I

I believe the second one, have doubts about the first.

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