Re: evaluate assuming odd integers?

• To: mathgroup at smc.vnet.net
• Subject: [mg59006] Re: evaluate assuming odd integers?
• From: "Steve Luttrell" <steve_usenet at _removemefirst_luttrell.org.uk>
• Date: Tue, 26 Jul 2005 04:03:22 -0400 (EDT)
• References: <dc1t2f\$4v8\$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```Simplify[Integrate[Sin[(2m+1)*Pi*(z/L)], {z, 0,
L}],Assumptions->m\[Element]Integers]

(2*L)/(Pi + 2*m*Pi)

Steve Luttrell

"ab at sd.com" <at2 at ads.com> wrote in message news:dc1t2f\$4v8\$1 at smc.vnet.net...
> Is there a way in Mathematica to evaluate an expression assuming some
> varialbe is Odd integer, for example in below integral how can i tell it
> that n is odd integer in the Assumptions section of FullSimplify command
> or
> the integral itself??:
> In[35]:=
> Integrate[Sin[n*Pi*(z/L)], {z, 0, L}]
> FullSimplify[%, n \[Element] Integers && n >= 0 &&
> L \[Element] Reals && L > 0 && z \[Element] Reals]
>

```

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