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Integration under Mathematica 5.0
*To*: mathgroup at smc.vnet.net
*Subject*: [mg57417] Integration under Mathematica 5.0
*From*: José Carlos Santos <jcsantos at fc.up.pt>
*Date*: Fri, 27 May 2005 04:56:56 -0400 (EDT)
*Sender*: owner-wri-mathgroup at wolfram.com
Hi all,
At another newsgroup, someone has transcribed this Mathematica
session:
In[1]:=$Version
Out[1]=5.0 for Microsoft Windows (November 18, 2003)
In[2]:=Integrate[Sqrt[1+Sqrt[u]]/(E^(a*u)*(2*Sqrt[2]*Sqrt[u])),{u,0,1}]
Out[2]=(1/3)*(4 - Sqrt[2])
This makes no sense, because the integral does depend upon the parameter
_a_ (just ask Mathematica to plot the graph). I do not have access to
Mathematica 5.0, but under the version 4.0 I do not get that answer;
what I get is the same integral written in a slightly different form.
Can someone reproduce that behaviour? And, if it is possible to
reproduce it, can someone *explain* it?
BTW, the value (1/3)*(4 - Sqrt[2]) is the value of the integral when
a = 0.
Best regards,
Jose Carlos Santos
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