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Re: Numerical integration and list of points

  • To: mathgroup at smc.vnet.net
  • Subject: [mg87662] Re: [mg87622] Numerical integration and list of points
  • From: Bob Hanlon <hanlonr at cox.net>
  • Date: Tue, 15 Apr 2008 05:51:23 -0400 (EDT)
  • Reply-to: hanlonr at cox.net

data = Sort[RandomReal[{0, 1}, {10, 2}]];

f = Interpolation[data];

xMin = f[[1, 1, 1]];
xMax = f[[1, 1, 2]];

Plot[f[x], {x, xMin, xMax}]

Integrate[f[x], {x, xMin, xMax}]

-2.16322

NIntegrate[f[x], {x, xMin, xMax}]

-2.16322


Bob Hanlon

---- guerom00 <guerom00 at gmail.com> wrote: 
> Hello everyone,
> 
> I have a function which I read as a list of points. I want then to
> estimate its integral. I do more or less this :
> 
> data={{x1,y1},{x2,y2},...,{xN,yN}}
> f=Interpolation[data]
> NIntegrate[f[x],{x,x1,xN}]
> 
> Is it the correct way ? Because Mathematica hangs without giving me an
> answer although it seems a pretty straightforward thing to do...
> 
> Thanks for any suggestions.
> 



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