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MathGroup Archive 1997

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Re: NIntegrate where terms of integrand have unknown constant coefficients

  • To: mathgroup at smc.vnet.net
  • Subject: [mg8934] Re: NIntegrate where terms of integrand have unknown constant coefficients
  • From: Paul Abbott <paul at physics.uwa.edu.au>
  • Date: Sat, 4 Oct 1997 22:08:11 -0400
  • Organization: University of Western Australia
  • Sender: owner-wri-mathgroup at wolfram.com

Scott Morrison wrote:

>  I'm trying to do something along the lines of NIntegrate[c[1] f[1][x] +
> c[2] f[2][x] + ..., {x, 0, a}], where c[n_] is unknown, but the f[n_] are
> defined so that NIntegrate[f[n][x], {x, 0, a}] would work. I'd like to be
> able to do the numerical integration, and keep the coefficients, so I'd get
> as an answer c[1] NIntegrate[f[1][x], {x, 0, a}] + c[2] NIntegrate[f[2][x],
> {x, 0, a}] + ... with all the NIntegrate's evaluated. 

I'm not sure I understand your question?  It seems to me that you
already have the answer: just enter your expression in the form

  c[1] NIntegrate[f[1][x], {x, 0, a}] + c[2] NIntegrate[f[2][x], {x, 0,
a}] + ... 

and all the NIntegrate's will evaluate.

Cheers,
	Paul 

____________________________________________________________________ 
Paul Abbott                                   Phone: +61-8-9380-2734
Department of Physics                           Fax: +61-8-9380-1014
The University of Western Australia           
Nedlands WA  6907                     mailto:paul at physics.uwa.edu.au 
AUSTRALIA                             http://www.pd.uwa.edu.au/~paul

            God IS a weakly left-handed dice player
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