Mechanical Quadrature Methods from Fitting Least Squire Interpolation Polynomials

With the advent of the modern high speed electronic digital computers, the Numerical Integration have been successfully applied to study problems in Mathematics, Engineering, Computer Science and Physical Sciences. Numerical integration, also called Quadrature, is the study of how the numerical value of an integral can be found. The purpose of this paper is quadrature methods for approximate calculation of definite integrals