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Topic: plotting integrals
Replies: 4   Last Post: Sep 24, 2013 4:16 AM

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Itai Seggev

Posts: 61
Registered: 7/29/13
Re: plotting integrals
Posted: Sep 21, 2013 4:23 AM
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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

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