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