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MathGroup Archive 1996

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Integration Conundrum

  • To: mathgroup at smc.vnet.net
  • Subject: [mg4942] Integration Conundrum
  • From: Lee Larson <lmlars01 at homer.louisville.edu>
  • Date: Mon, 7 Oct 1996 02:02:12 -0400
  • Sender: owner-wri-mathgroup at wolfram.com

Why does the following happen?

With parameters a and b in the expression:

In[38]:=
Integrate[E^s (-E^(a (-s+t)/2)+E^(b (-s+t)/2)),{s,0,1}]
Out[38]=
    (a t)/2      (b t)/2      (2 - a + a t)/2      (2 - b + b t)/2
-2 E          2 E          2 E                  2 E
----------- + ---------- + ------------------ - ------------------
  -2 + a        -2 + b           -2 + a               -2 + b


With actual values for a and b:


In[37]:=
Integrate[E^s (-E^((3 + 5^(1/2)) (-s+t)/2)+E^((3 - 5^(1/2)) 
(-s+t)/2)),{s,0,1}]
Out[37]=
           s   ((3 - Sqrt[5]) (-s + t))/2    ((3 + Sqrt[5]) (-s + t))/2
Integrate[E  (E                           - E                          ), 
 {s, 0, 1}]

This was tried on both Macintosh version 2.2.2 and HP/UX version 2.2.?.

Lee Larson   <>   http://www.louisville.edu/~lmlars01   <>   (502)339-8758
Mathematics Department, University of Louisville, Louisville, KY 40292 USA


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