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Integrate query

• To: mathgroup at smc.vnet.net
• Subject: [mg23361] Integrate query
• From: "A. E. Siegman" <siegman at stanford.edu>
• Date: Thu, 4 May 2000 02:59:28 -0400 (EDT)
• Organization: Stanford University
• Sender: owner-wri-mathgroup at wolfram.com

I have a non-negative analytic function f[x] whose area (integral of 
f[x] from 0 to Infinity) is unity.  

I want to find the upper limit such that the integral up to that limit 
will contain a fixed fraction of the total area, i.e. find  a  such that

   Integrate[f[x], {x,0,a}] == f         (f<=1)

The question is, what's the most efficient way to program this, if I 
want to find  a  with fair accuracy, and with a variety of different 
functions f[x]?

Thanks . . .

• Follow-Ups:
  • Re: Integrate query
    • From: Carl Woll <carlw@u.washington.edu>
  • Re: Integrate query
    • From: Daniel Lichtblau <danl@dragonfly.wolfram.com>