A BETTER APPROXIMATION OF DEFINITE INTEGRAL USING DIFFERENT NODES OF COMPOSITE TRAPEZOIDAL RULE

Abstract

                                                         Abstract

One of the major work of researchers in Mathematics especially in the area of Numerical, is to derive formulas that will give a better approximate solution to the exact solution of a particular problem. In this research work, the Composite Trapezoidal Rule (CTR) with 3, 5, 9 and 11 nodes were derived and applied to a particular integral problem. First the given problem was solved using the Simple Trapezoidal Rule (STR) and the result was use to compared that of the 3, 5, 9 and 11 nodes Composite Trapezoidal Rule (CTR). The results show that the Composite Trapezoidal rule yield better approximation to the exact solution than that of the Simple Trapezoidal Rule (STR). The result further shows that the smaller the interval, the better the approximation of the integral to the exact solution.