Methodological Approaches to Teaching Definite and Indefinite Integrals Based on Artificial Intelligence in Higher Education

This article analyzes methodological approaches to teaching definite and indefinite integrals in higher education based on artificial intelligence technologies. The study highlights the didactic possibilities of artificial intelligence tools in teaching mathematical analysis, their role in developing students’ mathematical thinking, and their effectiveness in visualization and interactive teaching of integral topics. In addition, the pedagogical mechanisms for improving the teaching of integral concepts through digital platforms such as GeoGebra, Wolfram Mathematica, ChatGPT and other educational technologies are substantiated. During the research, methods such as analysis, comparative analysis, pedagogical observation, and methodological modeling were used. The results showed that the use of artificial intelligence technologies contributes to the development of students’ independent thinking, mathematical competence, and problem-solving skills.