Re: vector integration

*To*: mathgroup at smc.vnet.net*Subject*: [mg35073] Re: [mg35052] vector integration*From*: Andrzej Kozlowski <andrzej at platon.c.u-tokyo.ac.jp>*Date*: Mon, 24 Jun 2002 03:20:56 -0400 (EDT)*Sender*: owner-wri-mathgroup at wolfram.com

Integrate and NIntegrate do actually work with vector valued functions, e.g: f[x_] := {x^2, x^3} In[2]:= NIntegrate[Evaluate[f[x]],{x,0,1}] Out[2]= {0.333333,0.25} It is not clear from your description why this does not work in your case. Perhaps you should post your actual example or at least a mini-version that has the same essential features. Andrzej Kozlowski Toyama International University JAPAN http://platon.c.u-tokyo.ac.jp/andrzej/ On Friday, June 21, 2002, at 12:54 PM, Michael Bechmann wrote: > hello everybody, > i am facing a problem in the numerical integration of a vector-valued > function using Mathematica. > as the result of some operation on the variable x defined by f[x_]=... > i get a list of numbers {f1,f2,f3,...,fn} each of which depends on the > variable x. > the bad point is that the fi can not be evaluated one by one. for some > chosen value of x i can only calculate the whole list of the fis. > now i need to integrate each of the fis over x. of course i could > intgrate each list element separately using NIntegrate: > > Fi=NIntegrate[f[x][[i]],{x,x1,x2}] > > but since the evaluation of the list f[x] is very time consuming i would > like to somehow integrate the whole list at once which is not possible > with NIntegrate. > > did anybody encounter this problem, too? does anybody know a useful > package or any solution? > > thanks. > > > -- > Posted via Mailgate.ORG Server - http://www.Mailgate.ORG > > > >