A Mathematical Model for Integrating Product of Two Functions

Abstract

Integration by parts is a well-known method of integrating product of two functions. If the integrand involves a polynomial  of degree n and another function  that can be integrated at least (n+1) times, then the solution to     is guaranteed after n routine applications of integration by parts method. This paper presents a mathematical model for integrating product of two functions without going through the routine application of integration by parts at each stage of integration, thus saving a lot of computational time. Some examples were considered to illustrate the effectiveness of the model. The model is found to be appropriate as it gives the same result with the well-known integration by parts method.

Keywords: Integrand; Mathematical model; Integration by parts; Differentiable functions