Home | 18.01

Tools    Index    Up    Previous    Next

Chapter 23: Integration by Partial Fractions


We know how to integrate polynomials and negative power of x-a. By the technique of "partial fractions" we can convert any rational function into a polynomial and fractions each with negative powers of only one factor (x-a); this allows us to integrate any rational function, once we know how to factor its  denominator completely.



23.1 Idea of Method of Partial Fractions

23.2 Proof of the Partial Fraction Theorem

23.3 Finding the Coefficients in the Partial Fraction Expansion

        23.3.1 Method 1: expansion

        23.3.2 Method 2: cover up

        23.3.3 Method 3: evaluate and solve equations

        23.3.4 Method 4: common denominator

23.4 Examples