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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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