INTEGRAL TABLES IN MATHEMATICAL ANALYSIS: THEORY, STRUCTURE, AND PRACTICAL APPLICATIONS

Integral tables have historically been one of the most essential tools in mathematical analysis, engineering, physics, and applied sciences. Before the widespread availability of digital symbolic computation, they provided mathematicians, engineers, and scientists with verified solutions to complex integrals, saving time and reducing errors. Even in the age of modern computer algebra systems, integral tables maintain educational and pedagogical relevance, helping students understand the structure of integrals, recognize patterns, and build analytical reasoning. This thesis explores the historical development, theoretical foundations, structural organization, practical applications, and pedagogical importance of integral tables, with numerous examples that illustrate their practical use in problem-solving.