How to Integrate It: A Practical Guide to Finding Elementary Integers

By: Seán M. Stewart

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Synopsis: While differentiating elementary functions is merely a skill, finding their integrals is an art. This practical introduction to the art of integration gives readers the tools and confidence to tackle common and uncommon integrals. After a review of the basic properties of the Riemann integral, each chapter is devoted to a particular technique of elementary integration. Thorough explanations and plentiful worked examples prepare the reader for the extensive exercises at the end of each chapter. These exercises increase in difficulty from warm-up problems, through drill examples, to challenging extensions which illustrate such advanced topics as the irrationality of π and e, the solution of the Basel problem, Leibniz's series and Wallis's product. The author's accessible and engaging manner will appeal to a wide audience, including students, teachers and self-learners. The book can serve as a complete introduction to finding elementary integrals, or as a supplementary text for any beginning course in calculus. A systematic introduction to integration, containing many fully worked examples to demonstrate how the techniques are applied in practice Contains more than 500 exercises ranging in difficulty, from warm-ups to challenging extensions Accessible and engaging, this book will be of interest to students, teachers and self-learners.

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