Re: Tough Limit
- To: mathgroup at smc.vnet.net
- Subject: [mg92674] Re: Tough Limit
- From: Peter Pein <petsie at dordos.net>
- Date: Fri, 10 Oct 2008 04:34:18 -0400 (EDT)
- References: <gckmsj$nh8$1@smc.vnet.net>
Well, I guessed I missed sth.
Additionally, you have to assume a real omega:
Integrate[Sin[\[Omega]*t]*Exp[(-t)*s], {t, 0, Infinity},
Assumptions -> Inequality[s, Greater, 0, Equal, Im[\[Omega]]]]
or - because you'll get s^2+omega^2 in the denominator:
Integrate[Sin[\[Omega]*t]/E^(t*s), {t, 0, Infinity},
Assumptions -> s > Abs[Im[\[Omega]]]]
Peter