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Re: NIntegrate of Oscillatory integrand

  • To: mathgroup at smc.vnet.net
  • Subject: [mg94293] Re: NIntegrate of Oscillatory integrand
  • From: antononcube at gmail.com
  • Date: Wed, 10 Dec 2008 04:43:36 -0500 (EST)
  • References: <ghlml2$km8$1@smc.vnet.net>

It seems it is better to do this integral symbolically:

In[5]:= Integrate[(1/p)*(Cos[A - k*t] - Cos[A - f[k]*t]), {t, 0,
Infinity}]

Out[5]= ((1/k - 1/f[k])*Sin[A])/p

Anton Antonov
Wolfram Research, Inc.


On Dec 9, 7:00 am, ventut... at gmail.com wrote:
> Do someone has an idea how can I do the numerical integral
>
> Int_0_to_inf (1/p)( Cos[ A - k t] - Cos[ A - k f(k) t]) where f(k) is
> an arbitrary decreasing function (besselK0, or just a gaussian..)
>
> Oscillatory and DoubleExponential methods don't work...
>
> D.



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