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Integration by Tables. Lesson 8.6. 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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Presentation Transcript
tables of integrals
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
general table classifications
General Table Classifications
  • Elementary forms
  • Forms involving
  • Forms involving
  • Forms involving
  • Trigonometric forms
  • Inverse trigonometric forms
  • Exponential, logarithmic forms
  • Hyperbolic forms
finding the right form
Finding the Right Form
  • For each integral
    • Determine the classification
    • Use the given pattern to complete the integral
reduction formulas
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
reduction formulas6
Reduction Formulas
  • This gives you
  • Now use formula 17 and finish the integration
assignment
Assignment
  • Lesson 8.6
  • Page 565
  • Exercises 1 – 45 EOO