Numerical Integration and a Proposed Rule
American journal of Engineering Research (AJER)
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Abstract
Numerical integration plays very important role in Mathematics. There are a large number of numerical integration methods in the literature and this paper overviews on the most common one, namely the Quadrature method including the Trapezoidal, Simpson's and Weddle's rule. Different procedures are compared and tried to evaluate the more accurate values of some definite integrals. Then it is sought whether a particular method is suitable for all cases. A combined approach of different integral rules has been proposed for a definite integral to get more accurate value for all cases.
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