Teaching mathematical programs parallel to a traditional course is being introduced all over the world and MATLAB is the most popular program for that. Numerical analysis is useful course which can solve various practical problems and research with the combination of mathematics and computer. In this paper, the demonstrating systems of numerical integration problems are implemented based on MATLAB. The structure of the system and some specific algorithms are given, including Rectangular Rule, Trapezoidal Rule and Simpson’s Rule. The main idea is to show basic principles and solutions to students that MATLAB could provide. They can extend knowledge gained from the MATLAB course on the other courses. This paper aims at teaching how to program the numerical integral with a step-by-step approach in transforming their algorithms to the most basic lines of code that can run on the computer efficiently and output the solution at the required degree of accuracy. In addition, this paper gives notes on the use of each of these MATLAB commands and programs through several Numerical examples.