Abstract
The main aim of this paper is to propose a numerical in tegration method using polynomial interpolation that provides improved estimates as compared to the Newton-Cotes methods of integration. The method is an extension of trapezoidal rule where the Lagrange inter polation is employed when fitting polynomials after segmentation. We proved that the proposed numerical integrat ion method using polynomial interpolation provided an improved formula for numerical integra tion. The proposed method using polynomial interpolation gave better estimates as compare d to some Newton-Cotes methods of integration.
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