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Calculus II (MAT 146) Dr. Day Monday September 9, 2013

Calculus II (MAT 146) Dr. Day Monday September 9, 2013. Chapter 7: More Methods of Integration Integration by Parts (7.1) Integrals Involving Trig Functions (7.2) Trig Substitution (7.3). Integration by Parts . Key Component of Integrand’s Two Factors

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Calculus II (MAT 146) Dr. Day Monday September 9, 2013

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  1. Calculus II (MAT 146)Dr. Day Monday September 9, 2013 • Chapter 7: More Methods of Integration • Integration by Parts (7.1) • Integrals Involving Trig Functions (7.2) • Trig Substitution (7.3) MAT 146

  2. Integration by Parts • Key Component of Integrand’s Two Factors • For at least one factor, its derivative is “simpler” than the factor. • For at least one factor, its anti-derivative is no more complex than the factor. MAT 146

  3. You Choosing U: A Decision Algorithm L: log functions I: inverse trig functions A: algebraic functions T: trig functions E: exponential functions MAT 146

  4. Review: Derivatives of Inverse Trig Functions MAT 146

  5. Derivatives of Inverse Trig Functions:Co-Function Connections MAT 146

  6. Trig Integrals MAT 146

  7. Trig Integrals:Which is Easiest? Toughest? MAT 146

  8. More Trig Integrals MAT 146

  9. Integrals Begging forTrig Substitutions! MAT 146

  10. Trig Substitutions MAT 146

  11. Integration Strategies:Which of These Can You Evaluate, WITHOUT Your CAS? MAT 146

  12. Assignments WebAssign • 7.1 Homework due tonight • 7.2 Homework due Wednesday night Test #1: Thursday/Friday PIP: pp31, 51, 63-72, 120-130 Help Session: Wednesday 6:30-7:45 STV 210 MAT 146

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