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Calculus II (MAT 146) Dr. Day Wednes day February 5 , 2014

Calculus II (MAT 146) Dr. Day Wednes day February 5 , 2014. Chapter 7: More Methods of Integration 7.1 Integration by Parts Derivatives of Inverse Trig Functions Integrals Involving Trig Functions. Undoing the Product Rule. Integration by Parts . An Integral with a Product Integrand

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Calculus II (MAT 146) Dr. Day Wednes day February 5 , 2014

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  1. Calculus II (MAT 146)Dr. Day Wednesday February 5, 2014 • Chapter 7: More Methods of Integration • 7.1 Integration by Parts • Derivatives of Inverse Trig Functions • Integrals Involving Trig Functions MAT 146

  2. Undoing the Product Rule MAT 146

  3. Integration by Parts • An Integral with a Product Integrand • Examples MAT 146

  4. 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

  5. MAT 146

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

  7. Review: Derivatives of Inverse Trig Functions MAT 146

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

  9. Trig Integrals MAT 146

  10. Assignments WebAssign • 7.1 Homework due Sunday at midnight • 7.2 Homework due Monday night • 7.3 Homework due Wednesday at midnight Quiz #5: This Weekend via WA! Test #1: Thursday/Friday Sept 12-13 PIP: pp 63-72, 120-130 MAT 146

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