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

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

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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

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

You Choosing U: A Decision Algorithm

L: log functions

I: inverse trig functions

A: algebraic functions

T: trig functions

E: exponential functions

MAT 146

Derivatives of Inverse Trig Functions:Co-Function Connections

MAT 146

Trig Integrals

MAT 146

Trig Integrals:Which is Easiest? Toughest?

MAT 146

More Trig Integrals

MAT 146

Integrals Begging forTrig Substitutions!

MAT 146

Trig Substitutions

MAT 146

Integration Strategies:Which of These Can You Evaluate, WITHOUT Your CAS?

MAT 146

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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