Integral Calculus for JEE Main and Advanced, 3e

This book is meant for students who aspire to join the Indian Institute of Technologies (IITs) and various other engineering institutes through the JEE Main and Advanced examinations. The content has been devised to cover the syllabi of JEE and other engineering entrance examinations on the topic Integral Calculus. The book will serve as a text book as well as practice problem book for these competitive examinations.

As a tutor with more than thirteen years of teaching this topic in the coaching institutes of Kota, I have realised the need for a comprehensive textbook in this subject.

I am grateful to McGraw-Hill for providing me an opportunity to translate my years of teaching experience into a comprehensive textbook on this subject.

This book will help to develop a deep understanding of Integral Calculus through concise theory and problem solving. The detailed table of contents will enable teachers and students to easily access their topics of interest.

Each chapter is divided into several segments. Each segment contains theory with illustrative examples. It is followed by Concept Problems and Practice Problems, which will help students assess the basic concepts. At the end of the theory portion, a collection of Target Problems have been given to develop mastery over the chapter. Solutions to Objective Exercises, Review Exercises and Target Exercises have been provided.

The problems for JEE Advanced have been clearly indicated in each chapter.

The collection of objective type questions will help in a thorough revision of the chapter. The Review Exercises contain problems of a moderate level while the Target Exercises will assess the students’ ability to solve tougher problems. For teachers, this book could be quite helpful as it provides numerous problems graded by difficulty level which can be given to students as assignments.

I am thankful to all teachers who have motivated me and have given their valuable recommendations. I thank my family for their whole-hearted support in writing this book. I specially thank Mr. Devendra Kumar and Mr. S. Suman for their cooperation in bringing this book.

Suggestions for improvement are always welcomed and shall be gratefully acknowledged.