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>