"Integration of Algebraic Functions: A Simple Heuristic for Finding the Logarithmic Part"
, Serie SFB F13, Nummer 2008-01, SFB F13, Altenbergerstr. 69, 4040 Linz, 2008
Integration of Algebraic Functions: A Simple Heuristic for Finding the Logarithmic Part
Sprache des Titels:
A new method is proposed for finding the logarithmic part of an integral over an algebraic function. The method uses Gr\"obner bases and is easy to implement. It does not have the feature of finding a closed form of an integral whenever there is one. But it very often does, as we will show by a comparison with the built-in integrators of some computer algebra systems.