Abstract

Abstract “Techniques of Integration” is perhaps the most traditional chapter in the text, with infinitesimals making appearances only for improper integrals. Functional notation is used for integration by parts (instead of differential notation), with the purpose of simplifying exercises involving both parts and substitution. The material on partial fractions is split into two sections, with the first section containing nonrepeated linear factors only. An optional section on “other techniques of integration” calls readers’ attention to the existence of techniques beyond those contained in calculus textbooks. A table of integrals is included, as is a discussion of the use of technology.

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