Abstract. Linking mathematics education with real-life processes is one of the priority directions of modern pedagogy, and particularly in the context of academic lyceums it is essential to develop students’ awareness of the practical significance of mathematical knowledge as well as their ability to apply it in future professional activities. This article provides an in-depth scientific and methodological analysis of the economic meaning of the integral concept and substantiates the role of integrals in modeling continuous economic processes, including total cost, total revenue, production dynamics over time, savings, and consumption processes. It is demonstrated that modeling economic processes through integrals enables students to connect the theoretical foundations of mathematical analysis with real economic situations, thereby fostering analytical thinking and functional literacy on the basis of sound scientific arguments [1], [5].