ABSTRACT
According to approximation theory, the problem of integration plays a major role in various fields such as mathematics, physics, statistics, engineering, and social sciences. Because in many applications at least some of the system parameters and measurements are represented by interval numbers instead of real numbers, it is important to develop interval integrals and solve them. Here we introduce the formulas for integrating Newton Coates methods for interval integrals with Peano’s error representation theorem as well as the convergence theorem.
