Re: MMA Integration Warnings
- To: mathgroup at yoda.physics.unc.edu
- Subject: Re: MMA Integration Warnings
- From: bert at netcom.com (Roberto Sierra)
- Date: Thu, 18 Nov 1993 09:50:14 -0800
Roberto Sierra (bert at netcom.com) wrote:
: +1
: _
: / i
: i
: i
: i -0.98 -0.98
: i (1-x) (1+x) dx
: i
: i_/
:
: -1
Thanks to everyone who wrote in regarding this integral. A couple
of folks have already pointed out that there was a bug in MMA v2.03
which appears to have been fixed in MMA v2.2, so now the answers
returned by Integrate and NIntegrate agree. Thanks for such rapid
replies!!
In[1]:= f[x_] := (1-x)^(-98/100) (1+x)^(-98/100)
In[2]:= g = Integrate[f[x],{x,-1,1}]
1
Sqrt[Pi] Gamma[--]
50
Out[2]= ------------------
13
Gamma[--]
25
In[3]:= N[%]
Out[3]= 51.3728
In[4]:= NIntegrate[f[x],{x,-1,1}]
NIntegrate::ncvb:
NIntegrate failed to converge to prescribed accuracy after 7
recursive bisections in x near x = -1..
Out[4]= 51.3739
This answer looks correct.
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