Partial fractions

Introduction to partial fractions

Case I. The denominator \(q\) is a product of distinct linear factors

Case II. \(q\) is a product of linear factors, some of which are repeated

Case III. \(q\) contains irreducible quadratic factors, none of which is a constant multiple of the other

Case IV. \(q\) contains a repeated irreducible quadratic factor

Rationalizing substitutions