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MathGroup Archive 2006

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Integrate is not additive?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg65947] Integrate is not additive?
  • From: Gianluca Gorni <gmgorn at tin.it>
  • Date: Mon, 24 Apr 2006 06:02:00 -0400 (EDT)
  • Reply-to: Gianluca Gorni <gorni at dimi.uniud.it>
  • Sender: owner-wri-mathgroup at wolfram.com

The following input returns unevaluated:

Clear[f];
FullSimplify[Integral[f[x], {x, 0, 1}] +
  Integral[f[x], {x, 1, 2}] -
  Integral[f[x], {x, 0, 2}]]

Is there a good reason for it not to return zero?
Perhaps the problem of singularities? Principal values?

Best regards,
Gianluca Gorni


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