MTH 252 Integral Calculus Chapter 8 Principles of Integral Evaluation Section 8 1 An Overview of Integration Methods Copyright 2005 by Ron Wallace all rights reserved Four Approaches to Integration 1 Recognition 2 Computer Algebra Systems CAS 3 Examples Mathematica Maple Derive Problems Can t solve some and others give unnecessary complicated answers Tables 4 Review list on pages 511 512 See inside front back covers Problem Not exhaustive Transformation Methods Also for definite integrals numerical approximation methods Change to something recognizable Examples Substitution Algebraic Equivalence The topic of this chapter Transformation Methods Substitution Integration by Parts Trigonometric Integrals Many problems will require the use of two or more of these methods Powers of Trigonometric Functions Trigonometric Partial Substitutions Fractions All of these attempt to change the integral into something that can be integrated by recognition
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