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Agenda: Feb. 4 HW Check Practice 7.1 Integration overview

Quote of the Day: "After years of finding mathematics easy, I finally reached integral calculus and came up against a barrier. I realized that this was as far as I could go, and to this day I have never successfully gone beyond it in any but the most superficial way." -- Isaac Asimov.

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Agenda: Feb. 4 HW Check Practice 7.1 Integration overview

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  1. Quote of the Day: "After years of finding mathematics easy, I finally reached integral calculus and came up against a barrier. I realized that this was as far as I could go, and to this day I have never successfully gone beyond it in any but the most superficial way." -- Isaac Asimov • Agenda: Feb. 4 • HW Check • Practice • 7.1 Integration overview

  2. Integration Formulas: p. 484 The “Biggies” Inverse trig Inegrals

  3. Integration Techniques p. 485 Separate numerator Complete the square Add/subtract terms in numerator Expand Divide improper rational functions Trig identities Multiply/divide Pythagorean conjugate

  4. Integration tip: try u-sub first • Example using: • add/subtract what’s missing , • separate numerator, complete the square

  5. Example using: • add/subtract what’s missing • Separate numerator

  6. 4) Expand

  7. 5) Divide Improper Rational

  8. 6. Trig Identities (more in Sec 7.3)

  9. 6. Trig Identities (more in Sec 7.3)

  10. 7. Pythagorean conjugate

  11. Similar but different

  12. Log Forms and substitution

  13. HOMEWORK 19 • p. 486 ## 21, 25-33(odd), 39, 43,45, 49, 51, 55, 56, 57, 61, 67, 69 • Challenge Problem – due Friday

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