ABSTRACT
The algebraic technique of resolving a complicated fraction into partial fractions is often needed by electrical and mechanical engineers for not only determining certain integrals in calculus, but for determining inverse Laplace transforms, and for analysing linear differential equations with resonant circuits and feedback control systems. This chapter describes 'partial fraction' and the conditions needed to resolve a fraction into partial fractions. It presents the partial fractions of fractions containing linear factors, repeated linear factors and quadratic factors in the denominators. When the degree of the numerator is equal to or higher than the degree of the denominator, the numerator must be divided by the denominator until the remainder is of less degree than the denominator. Resolving an algebraic expression into partial fractions is used as a preliminary to integrating certain functions.
