Re: Troubles with Integrate

• To: mathgroup at smc.vnet.net
• Subject: [mg70238] Re: Troubles with Integrate
• From: Roland Franzius <roland.franzius at uos.de>
• Date: Sun, 8 Oct 2006 02:05:07 -0400 (EDT)
• Organization: Universitaet Hannover
• References: <eg84hk\$nir\$1@smc.vnet.net>

```Roman V. Kiseliov schrieb:
> If I try to do following calculation Mathematica 5.2.0.0 can't evaluate
> integrals.
>
>  psi:= (-Pi^(-1))*((Sin[Pi*((t - 5/4)/3)]/(t - 5/4))*Cos[Pi*(t - 5/4)] +
>       (Sin[Pi*(t + 1/4)]/(t + 1/4))*Cos[Pi*(t + 1/4)]) +
>     (1/Pi)*((Sin[2*Pi*((t - 7/8)/3)]/(t - 7/8))*Sin[2*Pi*(t - 7/8)] -
>       (Sin[2*Pi*((t - 1/8)/3)]/(t - 1/8))*Sin[2*Pi*(t - 1/8)]);
>
>  Integrate[psi*psi, t]
>  Integrate[psi*psi, {t, -inf, +inf}]

This is an easy one if conviently represented. Try

phi=psi^2//TrigToExp//ExpandAll

Now its of course art to pass to the limit t->+-Infinity

--

Roland Franzius

```

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