Allen WolmerSandy Springs, Georgia, US,

October 31, 2014

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Understand and use integration by substitution (or change of variable) to find values of integrals.

- Mathematics > General
- Mathematics > Calculus

- Grade 11
- Grade 12

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Table of Contents

- Integration by Substitution
- Substitution for Indefinite and Definite Integrals
- Integration Technique: Substitution, Part 1
- Integration Technique: Substitution, Part 2
- Intro to u-Substitution
- u-Substitution: Easy Ex 1
- u-Substitution: Easy Ex 2
- u-Substitution: Easy Ex 3
- u-Substitution: Medium Ex 1
- u-Substitution: Medium Ex 2
- u-Substitution: Medium Ex 3
- u-Substitution: Harder Ex 1
- u-Substitution: Harder Ex 2
- Integration by Substitution I
- Integration by Substitution II
- Integration by Substitution Exercises
- Integration by Substitution Power Rule Exercises
- Integration by Substitution Log & Exponential Functions Exercises
- Integration by Substitution Trigonometric Functions Exercises
- Integration by Substitution Inverse Trigonometric Functions Exercises
- Substitution for Definite Integrals Exercises
- The u -Substitution; Change of Variables Exercises

Understand and use integration by substitution (or change of variable) to find values of integrals.

Mooculus Calculus Textbook Section 14.1 pp 219-224

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A Youtube Calculus Workbook (Part 1). A guide through a playlist of instructional Calculus Videos.

Section 16.5-16.6 pp 229-232

The first time you access this link to download the PDF, you will be asked four questions. Any that do not apply to you may be answered using any of the options listed.

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Instructional video from NROC/Hippocampus on Integration Technique: Substitution, Part 1 from the Phoenix College Collection-Calculus II.

Video duration: 9:41

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Instructional video from NROC/Hippocampus on Integration Technique: Substitution, Part 2 from the Phoenix College Collection-Calculus II.

Video duration: 8:16

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A Firefly Lectures video on this topic.

Video duration: 8:09

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A Firefly Lectures video on this topic.

Video duration: 4:04

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A Firefly Lectures video on this topic.

Video duration: 4:42

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A Firefly Lectures video on this topic.

Video duration: 6:32

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A Firefly Lectures video on this topic.

Video duration: 4:31

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A Firefly Lectures video on this topic.

Video duration: 4:10

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A Firefly Lectures video on this topic.

Video duration: 2:55

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A Firefly Lectures video on this topic.

Video duration: 6:40

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A Firefly Lectures video on this topic.

Video duration: 6:40

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A Math League of America video on this topic.

Video duration: 15:34

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A Math League of America video on this topic.

Video duration: 22:12

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Mooculus Calculus Textbook Exercises, Sect 14.1 p 225 (Ans p 254)

This set of exercises supports the following Standards of Mathematical Practice

- 1 Make sense of problems and persevere in solving them.
- 2 Reason abstractly and quantitatively.
- 3 Construct viable arguments and critique the reasoning of others.
- 5 Use appropriate tools strategically.
- 6 Attend to precision.
- 7 Look for and make use of structure.
- 8 Look for and express regularity in repeated reasoning.

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This set of exercises supports the following Standards of Mathematical Practice

- 1 Make sense of problems and persevere in solving them.
- 2 Reason abstractly and quantitatively.
- 5 Use appropriate tools strategically.
- 6 Attend to precision.
- 7 Look for and make use of structure.

Member Rating

Curriki Rating**'C'** - Curriki rating C**'C'** - Curriki rating

This set of exercises supports the following Standards of Mathematical Practice

- 1 Make sense of problems and persevere in solving them.
- 2 Reason abstractly and quantitatively.
- 5 Use appropriate tools strategically.
- 6 Attend to precision.
- 7 Look for and make use of structure.

Member Rating

Curriki Rating**'C'** - Curriki rating C**'C'** - Curriki rating

This set of exercises supports the following Standards of Mathematical Practice

- 1 Make sense of problems and persevere in solving them.
- 2 Reason abstractly and quantitatively.
- 5 Use appropriate tools strategically.
- 6 Attend to precision.
- 7 Look for and make use of structure.

Member Rating

Curriki Rating**'C'** - Curriki rating C**'C'** - Curriki rating

This set of exercises supports the following Standards of Mathematical Practice

- 1 Make sense of problems and persevere in solving them.
- 2 Reason abstractly and quantitatively.
- 5 Use appropriate tools strategically.
- 6 Attend to precision.
- 7 Look for and make use of structure.

Member Rating

Curriki Rating**'C'** - Curriki rating C**'C'** - Curriki rating

This set of exercises supports the following Standards of Mathematical Practice

- 1 Make sense of problems and persevere in solving them.
- 2 Reason abstractly and quantitatively.
- 5 Use appropriate tools strategically.
- 6 Attend to precision.
- 7 Look for and make use of structure.

Member Rating

Curriki Rating**'C'** - Curriki rating C**'C'** - Curriki rating

This set of exercises supports the following Standards of Mathematical Practice

- 1 Make sense of problems and persevere in solving them.
- 2 Reason abstractly and quantitatively.
- 5 Use appropriate tools strategically.
- 6 Attend to precision.
- 7 Look for and make use of structure.

Member Rating

Curriki Rating**'C'** - Curriki rating C**'C'** - Curriki rating

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