This study, which examines a calculation method on the basis of a dual neural network for
solving multiple definite integrals, addresses the problems of inefficiency, inaccuracy, and …

In this research, some new and efficient quadrature rules are proposed involving the
combination of function and its first derivative evaluations at equally spaced data points with …

In this paper, the computation of numerical integration using arithmetic mean (AMDCNC),
geometric mean (GMDCNC) and harmonic mean (HMDCNC) derivativebased closed …

Many methods are available for approximating the integral to the desired precision in
Numerical integration. A new set of numerical integration formula of Open Newton-Cotes …

In this paper, A Modified Trapezoidal Rule is presented for the evaluation of numerical
integration; the proposed method appears to be efficient modification of trapezoidal rule …

Generalization of Newton’s forward interpolation formula Page 617 Generalization of Newton’s
Forward Interpolation Formula Omar A. AL-Sammarraie*, Mohammed Ali Bashir** * Omdurman …

In this research paper, a new derivative-free Simpson 1/3-type quadrature scheme has been
proposed for the approximation of the Riemann-Stieltjes integral (RSI). The composite form …

A definite integral that is difficult to solve analytically can be calculated using the numerical
integration methods. The midpoint rule is a prominent rule for approximating definite …

A novel family of open Newton-Cotes (ONC) formulas is devised for evaluating the definite
integrals. The new family is developed by using the Heronian mean in the first-order …

Numerical integration is a powerful way to integrate certain categories of integrals, such as
those whose closed-form anti-derivative is missing, improper integrals, and tabular data …