Re: A FullSimplify Problem
- To: mathgroup at smc.vnet.net
- Subject: [mg41257] Re: A FullSimplify Problem
- From: "Dr. Wolfgang Hintze" <weh at snafu.de>
- Date: Sat, 10 May 2003 04:03:22 -0400 (EDT)
- References: <b8qolv$840$1@smc.vnet.net> <b8t8qm$ep6$1@smc.vnet.net> <b982lo$67h$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Paul,
thanks for your message.
It was a "long and winding road" for me to recognize that the integral
vanishes unless a*a > 1 ...
Regards,
Wolfgang
Paul Abbott wrote:
> In article <b8t8qm$ep6$1 at smc.vnet.net>,
> "Dr. Wolfgang Hintze" <weh at snafu.de> wrote:
>
>
>>When I plot the integrand between 0 and Pi it also looks like the
>>integral being zero.
>>
>>Performing NIntegrate (and specifying a numerically, e.g. a=0.4) on the
>>original integrand leads to an error message claiming a spurious
>>"strongly oscillating function". But by splitting the interval into
>>{0,Pi/2} and {Pi/2,Pi} NIntegrate behaves well and gives opposite
>>results for both parts. Hence the complete integral vanishes again.
>>
>
> For -1 < a < 1 but not for Abs[a] > 1.
>
> Cheers,
> Paul
>
>