ABSTRACT

CHAPTER 12

12.1. Introduction

The compendium [35] contains a large collection of evaluation of integrals of the form

(12.1.1)

R1(x) lnR2(x) dx

where R1 and R2 are rational functions. The first paper in this series [49] considered the family

(12.1.2) fn(a) =

lnn−1 x dx (x− 1)(x+ a) , for n ≥ 2 and a > 0.