The Integral Calculus of Functions of a Single Variable . Indefinite Integral is a fascinating and in-depth study of one of the most important topics of mathematical analysis, written by a team of authors who seek to make complex concepts accessible and understandable to readers. This publication will become an indispensable assistant for students, graduate students and anyone interested in mathematics, as well as for teachers looking for quality materials for their classes. The main purpose of the book is to consider in detail the indefinite integral - one of the key topics of integral calculus. The authors offer the reader not only theoretical foundations, but also practical examples, which allows to better assimilate the material. Each chapter is imbued with logic and consistency, which helps the reader gradually delve into the topic, starting with basic concepts and ending with more complex aspects of integration. The book will be of interest to a wide range of readers: from high school students preparing for exams to students of technical and economic specialties, as well as anyone who wants to refresh their knowledge in the field of mathematics. If you are looking for materials to prepare for the exam or OGE, or want to deepen your knowledge in the field of mathematical analysis, this publication will be a real find for you It will also be useful for those who are engaged in self-education and want to understand integral calculus at a deeper level. The topics raised in the book cover not only the process of integration itself, but also its application in various fields of science and technology. The authors discuss how an indefinite integral helps solve problems related to finding areas, volumes and other practical aspects. This makes the book not just a textbook, but a real source of inspiration for those who want to understand how mathematics is applied in real life. The style of the authors is clear and accessible, which allows the reader to easily assimilate even the most complex concepts. Each topic is accompanied by examples that illustrate theoretical positions, as well as tasks for independent decision, which makes the learning process more interactive and exciting. In addition, the book contains graphic illustrations that help to visualize the material being studied .. The Integral Calculus of Functions of a Single Variable . The indefinite integral can be compared with other known works in the field of mathematical analysis, such as the Course of Mathematical Analysis. N. Lusina or "Mathematical Analysis" B. and . Arnold . However, its uniqueness lies in a deep immersion in the theme of the indefinite integral and in how the authors skillfully associate theory with practical problems. If you are looking for a high-quality tutorial that will help you understand integral calculus and open new horizons in understanding mathematics, then this publication will be an excellent choice. It will not only enrich your knowledge, but also inspire you to further explore this fascinating science. Do not miss the opportunity to immerse yourself in the world of integral calculus and discover its limitless possibilities!