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MathGroup Archive 2001

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Re: Weird trigonometric integral and Simplification question

  • To: mathgroup at smc.vnet.net
  • Subject: [mg31784] Re: Weird trigonometric integral and Simplification question
  • From: "David W. Cantrell" <DWCantrell at sigmaxi.org>
  • Date: Sun, 2 Dec 2001 04:24:57 -0500 (EST)
  • References: <9ua41r$19f$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Bruce Atwood <bta at attewode.com> wrote:
> Message 1: Weird trigonometric integral
>
> The function Sqrt[1-Cos[t]] is continuous for all real t. Hence its
> integral must be continuous for all real t. In fact there is a general
> solution that is continuous for all real t. However Mathematica gives
> only a "particular" solution that is only true on the interval (0, 2
> Pi). Is there any way to know in advance when to expect these subtle and
> difficult problems?

As an addendum to my previous response:
Let me suggest that you look at the thread
<http://mathforum.org/epigone/sci.math.symbolic/glersnerdwand>.
The basic matter being addressed is the same, although Maple was
the CAS involved.

By the way, I'll also be interested in answers to your second question.

Regards,
  David Cantrell

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