Re: Step by step integration
- To: mathgroup at smc.vnet.net
- Subject: [mg37564] Re: Step by step integration
- From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
- Date: Tue, 5 Nov 2002 05:00:08 -0500 (EST)
- Organization: Universitaet Leipzig
- References: <aq035b$4n8$1@smc.vnet.net>
- Reply-to: kuska at informatik.uni-leipzig.de
- Sender: owner-wri-mathgroup at wolfram.com
Hi, AFAIK Mathematica use a Risch algorithm to in Integrate[] and you can look at: Geddes, K. O.; Czapor, S. R.; and Labahn, G. "The Risch Integration Algorithm." Ch. 12 in Algorithms for Computer Algebra. Amsterdam, Netherlands: Kluwer, pp. 511-573, 1992. Risch, R. "On the Integration of Elementary Functions which are Built Up using Algebraic Operations." Report SP-2801/002/00. Santa Monica, CA: Sys. Dev. Corp., 1968. Risch, R. "The Problem of Integral in Finite Terms." Trans. Amer. Math. Soc. 139, 167-189, 1969. Risch, R. "The Solution of the Problem of Integration in Finite Terms." Bull. Amer. Math. Soc., 1-76, 605-608, 1970. Risch, R. "Algebraic Properties of Elementary Functions of Analysis." Amer. J. Math. 101, 743-759, 1979. to see, that a "step by step" integration will help you nothing. A human is usual better than a stupid machine. Regards Jens CeZaR wrote: > > Hi, > > I saw in Help (Mathematica 4.0) the Step-By-Step Differentiation > topic. > I would like to know if it is possible to implement a Step-By-Step > Integration function in Mathematica. > There is a site calc101.com which uses webMathematica and has > implemented such a function. > > If it's not possible, are there any tools available which can? > > I'm trying to learn integration of functions, and Integrate[...] is > not very usefull. > > Thank you, > CeZaR