ABSTRACT

Expressions which at first sight look impossible to integrate using standard techniques may in fact be integrated by first expressing them as simpler partial fractions and then using earlier learned techniques. 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 like resonant circuits and feedback control systems. The chapter describes integrate functions using partial fractions with linear factors, integrate functions using partial fractions with repeated linear factors and integrate functions using partial fractions with quadratic factors. The process of expressing a fraction in terms of simpler fractions – called partial fractions with the forms of partial fractions.