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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

• Follow-Ups:
  • Re: Integration under Mathematica 5.0
    • From: Murray Eisenberg <murray@math.umass.edu>
  • Re: Integration under Mathematica 5.0
    • From: Chris Chiasson <chris.chiasson@gmail.com>
  • Re: Integration under Mathematica 5.0
    • From: Daniel Lichtblau <danl@wolfram.com>