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Definite Integration in Mathematica V3.0
 

Summary: Definite Integration in
Mathematica V3.0
Victor Adamchik
Introduction
The aim of this paper is to provide a short description of definite integration algorithms implemented in Mathemat-
ica Version 3.0.
$Version
Linux 3.0 HApril 25, 1997L
Proper Integrals
All proper integrals in Mathematica are evaluated by means of the Newton-Leibniz theorem

a
b
f HxL x = FHbL - FHaL
where FHxL is an antiderivative. It is well-known that the Newton-Leibniz formula in the given form does not hold
any longer if the antiderivative FHxL has singularities on an interval of integration Ha, bL. Let us consider the
following integral

0
4

  

Source: Adamchik, Victor - School of Computer Science, Carnegie Mellon University

 

Collections: Computer Technologies and Information Sciences