How to integrate it: A practical guide to finding elementary integrals

摘要

The book consists of 21 short and reasonably selfcontained chapters on distinct (Riemann) integral types or integration techniques. It covers more than the material of a usual first calculus course of one semester, including the Riemann integrals, definite integrals, indefinite integrals, the fundamental theorem of calculus, computation of integrals by reduction to known integrals, integration by substitution, integration by parts, trigonometric integrals, hyperbolic integrals, integration by partial fraction decomposition, integration of inverse functions, and improper integrals. And so it can be used for self-study or in conjunction with a calculus textbook as a source of concrete explanations and exercises of a specific type of integral or technique.