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Calculus II (MAT 146) Dr. Day Monday, September 11, 2017

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Presentation on theme: "Calculus II (MAT 146) Dr. Day Monday, September 11, 2017"— Presentation transcript:

1 Calculus II (MAT 146) Dr. Day Monday, September 11, 2017
Return Quiz #5 Integration Method #2: Integration by Parts (Sec 7.1) Integration Method #3: Trig Integrals (Sec 7.2) Test #1: Friday! Monday, September 11, 2017 MAT 146

2 Undoing the Product Rule
Monday, September 11, 2017 MAT 146

3 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. Monday, September 11, 2017 MAT 146

4 Monday, September 11, 2017 MAT 146

5 You Choosing U: A Decision Algorithm
L: log functions I: inverse trig functions A: algebraic functions T: trig functions E: exponential functions MAT 146 Monday, September 11, 2017

6 Review: Derivatives of Inverse Trig Functions
Monday, September 11, 2017 MAT 146

7 Derivatives of Inverse Trig Functions: Co-Function Connections
Monday, September 11, 2017 MAT 146

8 Trig Integrals Monday, September 11, 2017 MAT 146

9 More Trig Integrals! Monday, September 11, 2017 MAT 146

10 Which Roots Can You Simplify Mentally?
Monday, September 11, 2017 MAT 146

11 Pythagorean Trig Identities
Monday, September 11, 2017 MAT 146

12 Integrals Begging for Trig Substitutions!
Monday, September 11, 2017 MAT 146

13 Using Trig Substitutions
Monday, September 11, 2017 MAT 146

14 Trig Substitutions Monday, September 11, 2017 MAT 146

15 Integration Strategies: Which of These Can You Evaluate, WITHOUT Your CAS?
Monday, September 11, 2017 MAT 146

16 Partial-Fraction Decomposition
?????? Monday, September 11, 2017 MAT 146

17 Partial-Fraction Decomposition
Monday, September 11, 2017 MAT 146

18 What About… Improper Algebraic Fractions? Unfactorable Quadratics?
Repeated Linear Factors? Monday, September 11, 2017 MAT 146


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