Error in integrals?
- To: mathgroup at smc.vnet.net
- Subject: [mg9482] Error in integrals?
- From: "Clifford J. Nelson" <nelsoncj at gte.net>
- Date: Thu, 6 Nov 1997 02:40:26 -0500
- Organization: gte.net
- Sender: owner-wri-mathgroup at wolfram.com
Mathematica 3.0 on a PowerMac 7200/90 88MB Mac OS 8 gives different
results for Integrate vs. NIntegrate.
Here is one example.
ior[m_] := 1/3*(2*Sqrt[3]*Sqrt[(-1 + m^2)^2/(1 + m^2)^4] +
Sqrt[(Sqrt[3] - 6*m - Sqrt[3]*m^2)^2/(1 + m^2)^4] + Sqrt[(Sqrt[3] +
6*m - Sqrt[3]*m^2)^2/(1 + m^2)^4])
In[31]:=
N[Integrate[ior[m],{m,0,1}]]
Out[31]=
-0.42265
In[32]:=
NIntegrate[ior[m],{m,0,1}]
Out[32]=
1.73206
What am I doing wrong ? Which answer is correct ?
Cliff Nelson