 
Summary: INDEFINITE INTEGRALS OF RATIONAL
EXPRESSIONS  DERIVATIONS
Michael P. Barnett
Department of Chemistry,
Princeton University,
Princeton, NJ 08544
March 31, 1999
1 Introduction
This note provides a mechanically constructed derivation of a set of formulas that
cover all the the inde nite integrals of rational algebraic expressions (i.e. the
totality of Chapter 2.1) in \Gradshteyn and Ryzhik" 1]. We refer to this as G&R.
They consist of the following, where k m and n are integers, and interest is focused
on m and/or n negative.
Z
(a+ bxk)
mxn dx (1.1)
Z
(a + bxk + cx2k)
mxn dx (1.2)
Z
