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Re: Error in integrals?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg9502] Re: Error in integrals?
  • From: sergio at scisun.sci.ccny.cuny.edu (Sergio Rojas)
  • Date: Sat, 8 Nov 1997 23:04:33 -0500
  • Organization: City College Of New York - Science
  • Sender: owner-wri-mathgroup at wolfram.com

   Hello:

 I tried your example in Mathematica 2.2:

In[12]:= In[12]:= N[Integrate[ior[m],{m,0,1}]]

General::intinit: Loading integration packages -- please wait.

Out[12]= 1.73206

In[13]:= NIntegrate[ior[m],{m,0,1}]

Out[13]= 1.73206

In[14]:= In[14]:= $Version

Out[14]= DEC OSF/1 Alpha 2.2 (September 9, 1994)

Have fun

Sergio

In article <63rv7q$lqd at smc.vnet.net> you wrote:
: 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




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