Integration of Rational Functions

Abstract

We describe in this chapter algorithms for the integration of rational functions. This case, which is the simplest since rational functions always have elementary integrals, is important because the algorithms for integrating more complicated functions are essentially generalizations of the techniques used for rational functions. Since the algorithms and theorems of this chapter are special cases of the Risch algorithm, we postpone the proof of their correctness until the later chapters on integrating transcendental functions.