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