Re: not a bug in integrate, Mma 6.0. But simplfication/assumptions

On Jul 28, 10:01 am, Vladimir Bondarenko <v...@xxxxxxxxxxxxxxx> wrote:
Being fed your example, the VM machine generates simpler ones



1. Thanks to VB's note, I looked at my calculation and should make
this correction to my original post: I evaluated S with a->0, b-
1 ... . Same kind of result. So I was not computing an integral that
exists only in a principal value sense.

2. VB's examples are circumvented in recent mathematica versions, I
think, by doing Integrate[ ...., PrincipalValue->True]. I do not
know if this is the best that can be done, but it is a way of shifting
responsibility for the difficulty in the direction of "user error". A
program that works in all other respects but has problems with
Integrate[{impossible-to-compute-function-of-x},{x,0,0}]
may be quite useful.

.

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