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Many applications of integral calculus can be found in a variety of disciplines, such as engineering, statistics, finance, actuarial science, etc. The evaluation of expressions involving these integrals can occasionally get extremely challenging. As a result, numerous numerical methods (such as numerical integration) have been created to make the integral simpler. For instance, recent years have seen a focus on Bayesian and empirical Bayesian methods in statistics. Numerical integration is used to approximate numerical values that cannot be integrated analytically. Different numerical integration methods e.g. Newton-Cotes, Romberg integration, Gauss Quadrature and Monte Carlo integration are used to assess those functions that can’t be integrated systematically. Newton-Cotes methods have been used to interpolate polynomials. One of the Newton-Cotes methods does not have any restriction on segmentation. But, there must be an even number of segments for the Simpson 1/3 rule. In this study an attempt has been made to fuzzify the Simpson 1⁄3 rule and developed computer programs for the same. Also, a comparison between the classical and fuzzified Simpson's 1/3 rule has been done.
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