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.
