An approximation technique of definite integral using second order Taylor polynomial.

Abstract

Numerical integration plays one of the most important roles in Applied Mathematics. The goal of the numerical integration is finding a better approximation value of a definite integral using numerical techniques which is highly challengeable. Numerous methods have been proposed in the literature to compute numerical integration. In this paper, we propose a better approach using second order Taylor polynomial to estimate the definite integrals and compare the accuracy of our method with different procedures available in the literature using an example. Also, we drive an upper bound estimation for the error. It is observed and illustrated that the proposed study provides more accurate results compared to the existing approaches.