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
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. - PowerPoint PPT Presentation
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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
Integration Formulas:p. 484 The “Biggies”
Inverse trig Inegrals
Integration Techniques p. 4851) Separate numerator
2) Complete the square
3) Add/subtract terms in numerator
4) Expand
5) Divide improper rational functions
6) Trig identities
7) Multiply/divide Pythagorean conjugate
Integration tip: try u-sub firstExample using: • add/subtract what’s missing , • separate numerator, complete the square
∫ 2 𝑥𝑥2+6 𝑥+13
𝑑𝑥
Example using: • add/subtract what’s missing• Separate numerator