Re: Integrate without Simplify

*To*: mathgroup at smc.vnet.net*Subject*: [mg43949] Re: Integrate without Simplify*From*: Paul Abbott <paul at physics.uwa.edu.au>*Date*: Wed, 15 Oct 2003 04:59:25 -0400 (EDT)*Organization*: The University of Western Australia*References*: <bl0urk$405$1@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

In article <bl0urk$405$1 at smc.vnet.net>, k.junk at verizon.net (Kevin VW) wrote: > I have about 10000 term in a list that I want to integrate. Let me guess -- each term is of certain form? And can this particular form be integrated in a generic fashion? If so, then you can, and should, use pattern-matching to perform the integral. For example, if you have 10000 terms of the form x^n Exp[-a x] with different n and a, and you need to compute the integral with respect to x over [0,Infinity). The generic integral is then n! / a^(n+1) and the 10000 term list can be integrated by pattern-matching longlist /. x^(n_) Exp[a_ x] :> n! / (-a)^(n+1) Cheers, Paul -- Paul Abbott Phone: +61 8 9380 2734 School of Physics, M013 Fax: +61 8 9380 1014 The University of Western Australia (CRICOS Provider No 00126G) 35 Stirling Highway Crawley WA 6009 mailto:paul at physics.uwa.edu.au AUSTRALIA http://physics.uwa.edu.au/~paul