“Methodical guidelines for solving problems in numerical integration: A textbook” is an indispensable assistant for students, teachers and specialists who delve into the field of numerical methods and mathematical modeling. This work, created by a team of authors, is a practical guide that reveals all the subtleties and nuances of solving problems in numerical integration, making complex concepts accessible and understandable even for those who are just starting their way in this field. The book focuses on methods of approximate calculation of certain integrals, which are widely used in engineering calculations, scientific research and applied mathematics. The authors analyze in detail classical and modern algorithms, such as the trapezoid method, Simpson, Gauss and others, accompanying the theory with practical recommendations and examples. Particular attention is paid to the issues of accuracy, sustainability and efficiency of calculations, which makes the manual a valuable tool for those who seek not only to understand the basics, but also to learn how to apply them in real-world tasks. This book will be especially useful for students of technical and mathematical faculties of universities, teachers, graduate students, as well as engineers and researchers working with numerical methods. Its content is suitable for those who want to systematize their knowledge, prepare for exams or master new approaches in the field of numerical analysis. Thanks to a clear presentation of the material and a rich set of practical problems, the book contributes to the development of analytical thinking and the skills of independent solving of complex mathematical problems. "Methodical instructions for solving problems of numerical integration" is distinguished by a special style of presenting information - the authors use an accessible language, avoiding excessive academic complexity, while not missing important details and nuances. This manual is not just a collection of solutions, but a complete guide that helps to understand why a particular method is chosen, how to apply it correctly and how to evaluate the results obtained. This approach makes the book especially attractive for those who appreciate not only the practical side, but also the theoretical basis of numerical integration methods. In addition, the book includes an overview of current trends and new methods, which makes it relevant for those who want to keep up with the times and apply advanced technologies in their research. The authors, known for their pedagogical skills and rich teaching experience, created a manual that is easy to integrate into the educational process, as well as use as an independent guide for in-depth study of the topic. If you are looking for a book that will help you not only master the basic methods of numerical integration, but also teach you how to apply them in practice, “Methodological instructions for solving problems in numerical integration” is exactly what you need. This is not just a textbook, but a real guide to the world of numerical methods, capable of opening up new horizons of mathematical analysis and expanding your professional horizons. Ideal for those who appreciate the quality, practicality and modern approach in teaching mathematics and engineering disciplines.