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Integral Convergence

  • To: mathgroup at smc.vnet.net
  • Subject: [mg23649] Integral Convergence
  • From: Viorel Ontalus <vio2 at mail.lehigh.edu>
  • Date: Sun, 28 May 2000 23:09:01 -0400 (EDT)
  • Organization: Lehigh University
  • Sender: owner-wri-mathgroup at wolfram.com

Dear All,
I am having problems with some calculations and I am asking for help or
suggestions.

I am integrating a piecewise defined function. The function is non zero
for some periodic intervals.
When nonzero the function has the form f[x_]:=c * Sqrt[ 1-( (x-a)/b )^2*
UnitStep[1-( (x-a)/b )^2] ]
with a, b, c constants
g[y_]:=Integrate[f[x],{x,0,y}]
I want to plot g[y]
I get a lot of messages that are telling  :"Nintegrate failed to
converge to prescribed accuracy"
" Integration converging too slowly"   etc.

Does anybody know a fix?

Thanks Vio




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