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Integration by Tables Lesson 8.6

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Tables of Integrals Text has covered only limited variety of integrals Applications in real life encounter many other types Impossible (impractical) to memorize all types Tables of integrals have been established Text includes list in Appendix B, pg A-18

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General Table Classifications Elementary forms Forms involving Trigonometric forms Inverse trigonometric forms Exponential, logarithmic forms Hyperbolic forms

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Finding the Right Form For each integral Determine the classification Use the given pattern to complete the integral

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Reduction Formulas Some integral patterns in the tables have the form This reduces a given integral to the sum of a function and a simpler integral Given Use formula 19 first of all

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Reduction Formulas This gives you Now use formula 17 and finish the integration

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Assignment Lesson 8.6 Page 565 Exercises 1 – 45 EOO

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Basic Integration Rules Lesson 8.1. Fitting Integrals to Basic Rules Consider these similar integrals Which one uses … The log rule The arctangent rule.

Basic Integration Rules Lesson 8.1. Fitting Integrals to Basic Rules Consider these similar integrals Which one uses … The log rule The arctangent rule.

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