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Re: Numerical integration and list of points

  • To: mathgroup at smc.vnet.net
  • Subject: [mg87665] Re: Numerical integration and list of points
  • From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
  • Date: Tue, 15 Apr 2008 05:51:59 -0400 (EDT)
  • Organization: Uni Leipzig
  • References: <ftvd4f$d89$1@smc.vnet.net>
  • Reply-to: kuska at informatik.uni-leipzig.de

Hi,

with Mathematica 6.0.2 both:

data = Table[{x, Sin[x]}, {x, 0, Pi, Pi/32}] // N;
f = Interpolation[data]

Integrate[f[t], {t, 0, Pi}]

and

NIntegrate[f[t], {t, 0, Pi}]

gives 2.0

Regards
   Jens

guerom00 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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