Calculus ii mat 146 dr day monday september 9 2013
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Calculus II (MAT 146) Dr. DayMonday September 9, 2013. Chapter 7: More Methods of Integration Integration by Parts (7.1) Integrals Involving Trig Functions (7.2) Trig Substitution (7.3). Integration by Parts . Key Component of Integrand’s Two Factors

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

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Calculus ii mat 146 dr day monday september 9 2013

Calculus II (MAT 146)Dr. DayMonday 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

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


Calculus ii mat 146 dr day monday september 9 2013

You Choosing U: A Decision Algorithm

L:log functions

I:inverse trig functions

A:algebraic functions

T:trig functions

E:exponential functions

MAT 146


Review derivatives of inverse trig functions

Review: Derivatives of Inverse Trig Functions

MAT 146


Derivatives of inverse trig functions co function connections

Derivatives of Inverse Trig Functions:Co-Function Connections

MAT 146


Trig integrals

Trig Integrals

MAT 146


Trig integrals which is easiest toughest

Trig Integrals:Which is Easiest? Toughest?

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More trig integrals

More Trig Integrals

MAT 146


Integrals begging for trig substitutions

Integrals Begging forTrig Substitutions!

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Trig substitutions

Trig Substitutions

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Integration strategies which of these can you evaluate without your cas

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

MAT 146


Assignments

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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