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

2. Procedures for Fitting Integrands to Basic Rules
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3. Theorem 8.1 Integration by Parts and Guidelines for Integration of Parts
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4. Summary of Common Integrals Using Integration by Parts
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5. Guidelines for Evaluating Integrals Involving Sine and Cosine
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6. Wallis's Formulas
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7. Guidelines for Evaluating Integrals Involving Secant and Tangent
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8. Trigonometric Substitution (a > 0)
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9. Theorem 8.2 Special Integration Formulas (a > 0)
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10. Decomposition of N(x)/D(x) into Partial Fractions
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11. Guidelines for Solving the Basic Equation
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12. Substitution for Rational Functions of Sine and Cosine
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13. Theorem 8.3 The Extended Mean Value Theorem
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14. Theorem 8.4 L'Hopital's Rule
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15. Definition of Improper Integrals with Infinite Integration Limits
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16. Definition of Improper Integrals with Infinite Discontinuities
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17. Theorem 8.5 A Special Type of Improper Integral
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