ABSTRACT
This chapter aims to establish integration formulas for discrete data such as those that are obtained experimentally. It deals with the derivation of quadrature formulas that are useful in many applications in engineering and physics. The formulas apply to the evaluation of only definite integrals. Additionally, even when the approximation function is expressed in a piecewise manner, the integration may be carried out analytically. The choice of a high-order algebraic polynomial therefore does not guarantee an accurate integration formula. The choice of a lower-order approximating polynomial may lead students to have to consider a small integration interval in order to achieve a desired accuracy. Thus, in order to calculate the definite integral over a large physical region, the construction of many subintervals will be required for reasonable accuracy. The chapter presents the Appendixes of several computer codes that use the techniques that have been presented for numerical integration.
