Artificial intelligence as a resource for teaching mathematics. Integral calculus as a specific case

Abstract

The use of artificial intelligence, AI, has increased in recent years, offering tools to generate content and solve problems in different areas of knowledge. Questioning their relevance in areas such as integral calculus, 11 AI tools were tested to solve from basic to advanced integrals, described in different ways such as natural language or images. The results were compared with the solutions given in the literature, analyzing precision, number of steps, clarity of explanations and ease of use. Finding that the Chat GPT-Wolfram Alpha partnership stood out for its ability to identify appropriate integration techniques and offer detailed and understandable explanations; While Copilot is more complex to understand if you do not use the LaTeX language, the rest present some problems when interpreting instructions and images. Although these tools are not designed to solve mathematical problems, they proved to be effective in most cases, promoting an interactive space to clarify doubts in real time and generate debate; however, their effectiveness depends on the use given to them, since either as support in the classroom to deepen the analysis of the problem or simply use it as a black box to obtain quick answers.