Book contents
- Frontmatter
- Contents
- Preface
- 1 The Riemann Integral
- 2 Basic Properties of the Definite Integral: Part I
- 3 Some Basic Standard Forms
- 4 Basic Properties of the Definite Integral: Part II
- 5 Standard Forms
- 6 Integration by Substitution
- 7 Integration by Parts
- 8 Trigonometric Integrals
- 9 Hyperbolic Integrals
- 10 Trigonometric and Hyperbolic Substitutions
- 11 Integrating Rational Functions by Partial Fraction Decomposition
- 12 Six Useful Integrals
- 13 Inverse Hyperbolic Functions and Integrals Leading to Them
- 14 Tangent Half-Angle Substitution
- 15 Further Trigonometric Integrals
- 16 Further Properties for Definite Integrals
- 17 Integrating Inverse Functions
- 18 Reduction Formulae
- 19 Some Other Special Techniques and Substitutions
- 20 Improper Integrals
- 21 Two Important Improper Integrals
- Appendix A Partial Fractions
- Appendix B Answers to Selected Exercises
- Index
16 - Further Properties for Definite Integrals
Published online by Cambridge University Press: 11 December 2017
- Frontmatter
- Contents
- Preface
- 1 The Riemann Integral
- 2 Basic Properties of the Definite Integral: Part I
- 3 Some Basic Standard Forms
- 4 Basic Properties of the Definite Integral: Part II
- 5 Standard Forms
- 6 Integration by Substitution
- 7 Integration by Parts
- 8 Trigonometric Integrals
- 9 Hyperbolic Integrals
- 10 Trigonometric and Hyperbolic Substitutions
- 11 Integrating Rational Functions by Partial Fraction Decomposition
- 12 Six Useful Integrals
- 13 Inverse Hyperbolic Functions and Integrals Leading to Them
- 14 Tangent Half-Angle Substitution
- 15 Further Trigonometric Integrals
- 16 Further Properties for Definite Integrals
- 17 Integrating Inverse Functions
- 18 Reduction Formulae
- 19 Some Other Special Techniques and Substitutions
- 20 Improper Integrals
- 21 Two Important Improper Integrals
- Appendix A Partial Fractions
- Appendix B Answers to Selected Exercises
- Index
Summary
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- Type
- Chapter
- Information
- How to Integrate ItA Practical Guide to Finding Elementary Integrals, pp. 209 - 232Publisher: Cambridge University PressPrint publication year: 2017