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This third volume in the series Numerical and Algorithmic Approaches to Integrals is dedicated to error analysis, accuracy and comparison of the main numerical integration methods, applied to analytically solvable integrals. Combining theoretical rigor with practical implementation in Python, the book offers a systematic study of absolute and relative errors, associated algorithms and guided, corrected exercises. Each method is presented in a structured way: theory, accuracy estimation, coding, then concrete application. Designed for students of science, researchers and engineers, this book will help you consolidate your skills in numerical analysis, while offering an independent, progressive and comparative reading experience. It is an invaluable tool for mastering the reliability of numerical methods in academic and professional contexts requiring precision and rigor.