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