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