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Integrate[(1 - Exp[-kel*t]), {t, 0, Infinity]?=-1/kel

  • To: mathgroup at smc.vnet.net
  • Subject: [mg24383] Integrate[(1 - Exp[-kel*t]), {t, 0, Infinity]?=-1/kel
  • From: GyA Csanady <csanady at gsf.de>
  • Date: Wed, 12 Jul 2000 23:13:23 -0400 (EDT)
  • Organization: gsf
  • Sender: owner-wri-mathgroup at wolfram.com

Dear MathGroup,
I integrated the function (1 - Exp[-kel*t]) between zero and Infinity by
using Mathematica 4 and assuming that kel is positiv:

Integrate[(1 - Exp[-kel*t]), {t, 0, Infinity}, Assumptions -> kel > 0]

Mathematica resulted in a finite integral being ?1/kel.

This result is obviously wrong since the function investigated does not
have a finite integral. However I am not sure what is wrong.
Any help will be appreciated.
With best regards
Gy. Csanady




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