The article evaluates the performance in terms of execution times in solving algebraic integrals using both the object-oriented programming (OOP) and reactive programming (RP) paradigms. The problem addressed is the lack of scientific evidence that allows us to determine which paradigm offers the best results in terms of execution times in solving these integrals. The approach of the study involves the implementation of two versions in Java, each built following the principles of the aforementioned paradigms. Subsequently, through controlled experimental scenarios and integrated Java methods, the execution time of each application is measured. The results reveal that reactive programming demonstrates greater efficiency in terms of performance. This research focuses on the resolution of linear and polynomial algebraic integrals and points out the need for more extensive research in this field. In conclusion, the study shows that reactive programming significantly outperforms object-oriented programming, demonstrating notably lower execution times.