       Re: Problems integrating InterpolatingFunction

• To: mathgroup at smc.vnet.net
• Subject: [mg116072] Re: Problems integrating InterpolatingFunction
• From: DrMajorBob <btreat1 at austin.rr.com>
• Date: Tue, 1 Feb 2011 06:51:56 -0500 (EST)

```Clear[y, t]
s = y /. NDSolve[{y'[x] == y[x] Cos[x + y[x]], y == 1},
y, {x, 0, 30}][];
t = t /. First@NDSolve[{t'[x] == 1/s[x]^2, t == 0}, t, {x, 0, 30}];

Plot[s@x, {x, 0, 30}]

Plot[t@x, {x, 0, 30}]

Bobby

On Mon, 31 Jan 2011 02:24:53 -0600, Sergio Miguel Terrazas Porras
<sterraza at uacj.mx> wrote:

> Hi again, the thing is that I need a function as a result of the
> integration, no a number.
> I can make a very long table of the results of NIntegrate, then try to
> fit the elements of Table, etc.
> I just needed to know if it was possible to obtain a function directly
> from the indefinite integral.
>
> In the documentation there is an example of an indefinte integral of an
> InterpolatinFuntion.
>
> Thanks to all who responded.
>
> Sergio
>
> ________________________________________
> De: Bob Hanlon [hanlonr at cox.net]
> Enviado el: domingo, 30 de enero de 2011 01:32 a.m.
> Para: mathgroup at smc.vnet.net
> Asunto: [mg116049] Re: Problems integrating InterpolatingFunction
>
> You must use NIntegrate
>
> s = y /. NDSolve[{y'[x] == y[x] Cos[x + y[x]], y == 1},
>      y, {x, 0, 30}][];
>
> NIntegrate[1/s[x]^2, {x, 0, 30}]
>
> 10325.5
>
>
> Bob Hanlon
>
> ---- Sergio Miguel Terrazas Porras <sterraza at uacj.mx> wrote:
>
> ==========================
> Hello group,
>
> I use NDSolve for a nonlinear differential equation, and I get an
> InterpolatingFunction, as expected.
>
> I can plot it, evaluate it, etc.
>
> The problem I have is that now I need to integrate 1/(the square of the
> InterpolatingFunction), and I get nothing but the input back.
>
> Any ideas?
>
>
> Sergio Terrazas
>

--
DrMajorBob at yahoo.com

```

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