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Techniques of Integration

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Presentation on theme: "Techniques of Integration"— Presentation transcript:

1 Techniques of Integration
Chapter 6 Techniques of Integration

2 Integration by Parts

3 Guidelines for Integration by Parts

4 Summary of Common Uses of Integration by Parts

5 Present Value

6 Partial Fractions

7 Figure 6.3: Logistic Growth Function

8 Table of Integrals 1-2 (Forms involving un)

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

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

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

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

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

14 Table of Integrals 34-38 (Forms involving eu)

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

16 Figure 6.9 and Figure 6.10: The Trapezoidal Rule

17 Figure 6.13: Simpson's Rule

18 Errors in the Trapezoidal Rule and Simpson's Rule

19 Figure 6.17: Improper Integrals

20 Figure 6.18: Improper Integrals

21 Figure 6.19: Improper Integrals with Infinite Limits of Integration

22 Integrals with Infinite Integrands


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