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Re: Re: Re: Integration

• To: mathgroup at smc.vnet.net
• Subject: [mg44458] Re: [mg44451] Re: [mg44437] Re: Integration
• From: Murray Eisenberg <murray at math.umass.edu>
• Date: Mon, 10 Nov 2003 19:55:42 -0500 (EST)
• Organization: Mathematics & Statistics, Univ. of Mass./Amherst
• References: <bmg0li$e9k$1@smc.vnet.net> <bmj2os$prs$1@smc.vnet.net> <200311040823.DAA10480@smc.vnet.net> <200311051500.KAA26314@smc.vnet.net> <200311071016.FAA05417@smc.vnet.net> <boif1p$o9u$1@smc.vnet.net> <200311091101.GAA06766@smc.vnet.net> <200311100952.EAA17591@smc.vnet.net>
• Reply-to: murray at math.umass.edu
• Sender: owner-wri-mathgroup at wolfram.com

I think it's that word "essentially" that is the heart of the discussion!

Daniel Lichtblau wrote:

> ... found in The Mathematica Book....
> 
> "In the most convenient cases, integrals can be done purely in terms of
> elementary functions such as exponentials, logarithms, and trigonometric
> functions. In fact, if you give an integrand that involves only such
> elementary functions, then [...] if the corresponding integral can be
> expressed in terms of elementary functions, then Integrate will
> ESSENTIALLY always succeeed in finding it." [emphasis added by M.E.]...



-- 
Murray Eisenberg                     murray at math.umass.edu
Mathematics & Statistics Dept.
Lederle Graduate Research Tower      phone 413 549-1020 (H)
University of Massachusetts                413 545-2859 (W)
710 North Pleasant Street            fax   413 545-1801
Amherst, MA 01003-9305

• References:
  • Re: Integration
    • From: akhmel@hotmail.com (Alex)
  • Re: Re: Integration
    • From: Andrzej Kozlowski <akoz@mimuw.edu.pl>
  • Re: Re: Re: Integration
    • From: Murray Eisenberg <murray@math.umass.edu>
  • Re: Integration
    • From: akhmel@hotmail.com (Alex)
  • Re: Re: Integration
    • From: Daniel Lichtblau <danl@wolfram.com>