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. \\|// "Television is a medium -- it is - - neither rare nor well done." o o -- Ernie Kovacs J roberto sierra O tempered microdesigns NOTICE: \_/ san francisco, ca The ideas and opinions expressed bert at netcom.com herein are not those of the author.