Integral calculus, an important component of the university curriculum, requires effective methods of numerical integration. The Simpson method is one of the most accurate and widely used methods for approximating certain integrals of functions with high accuracy. In the context of the university program, students of mathematical and natural sciences study this method as a tool for solving a variety of integral problems. They conduct research comparing Simpson's method with other numerical integration methods, such as the rectangle method or the trapezoid method, to determine its effectiveness and scope. As a result of the analysis, the importance of the Simpson method for achieving accurate numerical results in solving integral problems is deduced, which makes it an integral part of academic education in mathematics and natural sciences.