Techniques of Integration

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Presentation transcript:

Techniques of Integration Chapter 6 Techniques of Integration

Integration by Parts

Guidelines for Integration by Parts

Summary of Common Uses of Integration by Parts

Present Value

Partial Fractions

Figure 6.3: Logistic Growth Function

Table of Integrals 1-2 (Forms involving un)

Table of Integrals 3-13 (Forms involving a+bu)

Table of Integrals 14-20 (Forms involving sqrt [a+bu])

Table of Integrals 21-28 (Forms involving sqrt [u2+-a2], a>0)

Table of Integrals 29-30 (Forms involving u2-a2, a>0)

Table of Integrals 31-33 (Forms involving sqrt [a2-u2], a>0)

Table of Integrals 34-38 (Forms involving eu)

Table of Integrals 39-43 (Forms involving ln u)

Figure 6.9 and Figure 6.10: The Trapezoidal Rule

Figure 6.13: Simpson's Rule

Errors in the Trapezoidal Rule and Simpson's Rule

Figure 6.17: Improper Integrals

Figure 6.18: Improper Integrals

Figure 6.19: Improper Integrals with Infinite Limits of Integration

Integrals with Infinite Integrands