Re: plotting integrals

• To: mathgroup at smc.vnet.net
• Subject: [mg131700] Re: plotting integrals
• From: Itai Seggev <itais at wolfram.com>
• Date: Sat, 21 Sep 2013 04:40:10 -0400 (EDT)
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• References: <20130920110737.A26746A58@smc.vnet.net>

```On Fri, Sep 20, 2013 at 07:07:37AM -0400, Herman wrote:
> Dear All,
>
> I would like to plot the function Subscript[\[Eta], B] but I got errors.
>
>
> \[Psi][x_, \[Omega]_] := (\[Omega]/\[Pi])^(1/4)
>   Exp[-1/2 \[Omega] x^2]
>
> \[Psi]1[x_, a_, n_] := Sqrt[(2 n)!!/((2 n - 1)!! \[Pi])] Cos [a*x]^n
>
> Subscript[F, TPT][x_, a_, n_] :=
>  NIntegrate[\[Psi]1[x, a, n]*\[Psi][x,
>     a*Sqrt[2 n (n - 1)]], {x, -\[Pi]/2, \[Pi]/2}]

This definition is self-contradictory.  You are say that F_TPT depends on x,
but x is a dummy variable on the RHS.

> Subscript[\[Eta], B][x_, a_,
>   n_] := Sqrt[(1 - Subscript[F, TPT][x, a, n])]
>
> Plot[Subscript[\[Eta], B][x, 1, 3], {x, -\[Pi]/2, \[Pi]/2}]
>
--
Itai Seggev
Mathematica Algorithms R&D
217-398-0700

```

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