Chapter 6

Chapter 6

Techniques of Integration

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Integration by Parts


Guidelines for Integration by Parts


Summary of CommonUses of Integration by Parts


Present Value


Partial Fractions


Figure 6.3: Logistic Growth Function


Table of Integrals1-2 (Forms involving un)


Table of Integrals3-13 (Forms involving a+bu)


Table of Integrals14-20 (Forms involving sqrt [a+bu])


Table of Integrals21-28 (Forms involving sqrt [u2+-a2], a>0)


Table of Integrals29-30 (Forms involving u2-a2, a>0)


Table of Integrals31-33 (Forms involving sqrt [a2-u2], a>0)


Table of Integrals34-38 (Forms involving eu)


Table of Integrals39-43 (Forms involving ln u)


Figure 6.9 and Figure 6.10:The Trapezoidal Rule


Figure 6.13: Simpson's Rule


Errors in the Trapezoidal Ruleand Simpson's Rule


Figure 6.17: Improper Integrals


Figure 6.18: Improper Integrals


Figure 6.19: Improper Integralswith Infinite Limits of Integration


Integrals with Infinite Integrands

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Chapter 6