Calculus II (MAT 146) Dr. Day Monday, February 6, 2018 Return Quiz #5 Return to Methods of Integration (Ch 7) Integration Method #2: Integration by Parts (7.1) Test #1: Friday, Feb 9: STV 211 Monday, February 5, 2018 MAT 146

Undoing the Product Rule Monday, February 5, 2018 MAT 146

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, February 5, 2018 MAT 146

Monday, February 5, 2018 MAT 146

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, February 5, 2018

Review: Derivatives of Inverse Trig Functions Monday, February 5, 2018 MAT 146

Derivatives of Inverse Trig Functions: Co-Function Connections Monday, February 5, 2018 MAT 146

Trig Integrals Monday, February 5, 2018 MAT 146

More Trig Integrals! Monday, February 5, 2018 MAT 146

Which Roots Can You Simplify Mentally? Monday, February 5, 2018 MAT 146

Pythagorean Trig Identities Monday, February 5, 2018 MAT 146

Integrals Begging for Trig Substitutions! Monday, February 5, 2018 MAT 146

Using Trig Substitutions Monday, February 5, 2018 MAT 146

Trig Substitutions Monday, February 5, 2018 MAT 146

Integration Strategies: Which of These Can You Evaluate, WITHOUT Your CAS? Monday, February 5, 2018 MAT 146

Partial-Fraction Decomposition ?????? Monday, February 5, 2018 MAT 146

Partial-Fraction Decomposition Monday, February 5, 2018 MAT 146

What About… Improper Algebraic Fractions? Unfactorable Quadratics? Repeated Linear Factors? Monday, February 5, 2018 MAT 146

Monday, February 5, 2018 MAT 146