Re: Correction to "Fundamental Theorem of Calculus and Mathematica"

*To*: mathgroup at smc.vnet.net*Subject*: [mg100795] Re: Correction to "Fundamental Theorem of Calculus and Mathematica"*From*: Albert Retey <awnl at gmx-topmail.de>*Date*: Sun, 14 Jun 2009 05:39:54 -0400 (EDT)*References*: <h0sbtl$hdk$1@smc.vnet.net> <h0t856$r80$1@smc.vnet.net> <h0vtok$79n$1@smc.vnet.net>

Hi, > Interesting! Like you, I get correct results when differentiating > using "D". But when I differentiate using the prime sign (g'[x] ) I > get the incorrect answer of 0. I think this is a case where Trace is useful, and when looking at the output of Trace it seems clear that this is why it goes wrong for g': In[14]:= Integrate[Exp[-t^2], {t, 0, #}] Out[14]= 1/2 Sqrt[\[Pi]] Erf[3] In[15]:= Integrate[Sin[t], {t, 0, #}] Out[15]= 1 - Cos[#1] I think Out[14] clearly is a bug, because whatever # may be, it is not 3 in almost all cases :-) hth, albert