       Re: Mathematica Numerical Integration and For Loop

• To: mathgroup at smc.vnet.net
• Subject: [mg81986] Re: Mathematica Numerical Integration and For Loop
• From: Peter Pein <petsie at dordos.net>
• Date: Mon, 8 Oct 2007 02:04:19 -0400 (EDT)
• References: <fea9tf\$k99\$1@smc.vnet.net>

```General schrieb:
> Hi,
>
> I have a function which I have numerically integrated in Mathematica. I would like to be able to change a parameter of that function and re-evaluate that integral and then record the answer.
>
> Since this needs to be done for vary small changes of that independent variable it would be impossible for me to sit down and do it one by one.
>
> I am thinking of using a for loop but I cannot understand how to use it in my case.
>
> I would appreciate anyones help/
>
> Here is the form of the function that I am integrating
>
> NIntegrate[
>  ref[\[lambda], \[Theta], \[Phi], \[Pi]/5, (2 \[Pi])/5], {\[Theta],
>   0, \[Pi]}, {\[Phi], 0, 2 \[Pi]}]
>
> I would like to be able to change the first variable within my ref function. This is lambda. So I want lambda to take different values within a range of 0 to 10 with increments of 0.01 and then store the output of the numerical integration. I would then like to plot lambda against the values obtained from the numerical integration.
>
> Thanks
>
> Regards
>
> Alex
>

simply use Table:

result = Table[{lambda, NIntegrate[ref[lambda, theta, phi, Pi/5,
(2*Pi)/5], {theta, 0, Pi}, {phi, 0, 2*Pi}]}, {lambda, 0, 10, 1/100}];
ListPlot[result, PlotJoined -> True];

Peter

```

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