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Integration Techniques, L’Hopital’s Rule, and Improper Integrals

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Integration Techniques, L’Hopital’s Rule, and Improper Integrals
Chapter 8 Integration Techniques, L’Hopital’s Rule, and Improper Integrals

Procedures for Fitting Integrands to Basic Rules
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Theorem 8.1 Integration by Parts and Guidelines for Integration of Parts
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Summary of Common Integrals Using Integration by Parts
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Guidelines for Evaluating Integrals Involving Sine and Cosine
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Wallis's Formulas Copyright © Houghton Mifflin Company. All rights reserved.

Guidelines for Evaluating Integrals Involving Secant and Tangent
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Trigonometric Substitution (a > 0)
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Theorem 8.2 Special Integration Formulas (a > 0)
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Decomposition of N(x)/D(x) into Partial Fractions
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Guidelines for Solving the Basic Equation
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Substitution for Rational Functions of Sine and Cosine
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Theorem 8.3 The Extended Mean Value Theorem
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Theorem 8.4 L'Hopital's Rule
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Definition of Improper Integrals with Infinite Integration Limits
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Definition of Improper Integrals with Infinite Discontinuities
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Theorem 8.5 A Special Type of Improper Integral
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