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one integral - three (different) answers

  • To: mathgroup at yoda.physics.unc.edu
  • Subject: one integral - three (different) answers
  • From: Michael.Trott at physik.tu-ilmenau.de
  • Date: Thu, 4 Feb 1993 18:59:02 +0000

Hi,

the following is a little bit disturbing

Integrate[1/((a-x)(x-b)),{x,-Infinity,c}]

or

Integrate[-1/((x-a)(x-b)),{x,-Infinity,c}]

or

((#/.x->-Infinity) - (#/.x->c))&[Integrate[1/((a-x)(x-b)),x]]

gives three different answers. 
Let c<a<b for convenience, so the independence of the two
definite integrals from c is surprisingly.

Whats going on?

Michael Trott

trott at physik.tu-ilmenau.de









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