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Calculus II (MAT 146) Dr. Day Monday February 17, 2014

Calculus II (MAT 146) Dr. Day Monday February 17, 2014. Chapter 7: More Methods of Integration Integrals Involving Trig Functions (7.2) Integration Using Trig Substitution (7.3). Trig Integrals: Which is Easiest? Toughest?. Updates and Additions: Gateway Integrals. Trig Substitutions.

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Calculus II (MAT 146) Dr. Day Monday February 17, 2014

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  1. Calculus II (MAT 146)Dr. Day Monday February 17, 2014 • Chapter 7: More Methods of Integration • Integrals Involving Trig Functions (7.2) • Integration Using Trig Substitution (7.3) MAT 146

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

  3. Updates and Additions:Gateway Integrals MAT 146

  4. Trig Substitutions MAT 146

  5. What trig sub to use? Kristin wants to evaluate the following integrals, each using a trig substitution. That is, she must carry out an inverse substitution by defining a new function x(). What is the most appropriate trig substitution to make for each integral ? Your response should be a trig function in terms of , expressed as an equation. MAT 146

  6. Use aTrig Substitution . . . MAT 146

  7. MoreTrig Substitutions MAT 146

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

  9. Partial-Fraction Decomposition ?????? MAT 146

  10. Partial-Fraction Decomposition MAT 146

  11. What About… Improper Algebraic Fractions? Unfactorable Quadratics? Repeated Linear Factors? MAT 146

  12. Assignments WebAssign • 7.3 Homework due Monday night • 7.4 Homework due Wednesday night MAT 146

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