Lecture
This lecture covers the composite quadrature formula on the interval [a, b], digital integration, and the change of variable. It explains how to approximate a function using sub-intervals of different sizes and the midpoint formula. The instructor demonstrates the composite trapezoid formula and Simpson's composite formula, obtained by replacing the function with interpolating polynomials. The lecture also discusses the mistake in the composite trapezoid formula. Overall, the lecture provides a comprehensive overview of numerical integration techniques.