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Basic Integration Rules

Basic Integration Rules. Lesson 8.1. Fitting Integrals to Basic Rules. Consider these similar integrals Which one uses … The log rule The arctangent rule The rewrite with long division principle. Try It Out. Decide which principle to apply …. The Log Rule in Disguise. Consider

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Basic Integration Rules

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  1. Basic IntegrationRules Lesson 8.1

  2. Fitting Integrals to Basic Rules • Consider these similar integrals • Which one uses … • The log rule • The arctangent rule • The rewrite with long division principle

  3. Try It Out • Decide which principle to apply …

  4. The Log Rule in Disguise • Consider • The quotient suggests possible Log Rule, but the du = exis not present • We can manipulate this to make the Log Rule apply • Add and subtract ex in the numerator

  5. The Power Rule in Disguise • Here's another integral that doesn't seem to fit the basic options • What are the options for u ? • Best choice is

  6. The Power Rule in Disguise • Thenbecomes and power rule applies • Note review of basic integration rules pg 520 • Note procedures for fitting integrands to basic rules, pg 521

  7. Disguises with Trig Identities • What rules might this fit? • Note that tan2 u is not on the list … • However sec2uis on the list • This suggests one of the pythagorean identities and we have

  8. Assignment • Lesson 8.1 • Page 522 • Exercises 1 – 49 EOO

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