       Re: Mathematica Numerical Integration and For Loop

• To: mathgroup at smc.vnet.net
• Subject: [mg81974] Re: Mathematica Numerical Integration and For Loop
• From: Szabolcs Horvát <szhorvat at gmail.com>
• Date: Mon, 8 Oct 2007 00:03:47 -0400 (EDT)
• References: <fea9tf\$k99\$1@smc.vnet.net>

```General wrote:
> 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.
>

Look up Table[] in the documentation.

result = Table[{\[Lambda], NIntegrate[...]}, {\[Lambda], 0, 10, .1}];
ListPlot[result]

--
Szabolcs

```

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