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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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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.
> Could someone please help me with these 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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