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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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