#### I.4: Understand the Fundamental Theorem of Calculus

Understand the Fundamental Theorem of Calculus: Interpret the definite integral of the rate of change of a quantity over an interval as the accumulation of change of the quantity over the interval.

### The Fundamental Theorem

by Allen Wolmer

Mooculus Calculus Textbook Section 13.1 pp 208-213

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### Fundamental Theorem of Calculus

by Allen Wolmer

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

Section 16.1 pp 222-224

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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### Fundamental Theorem of Calculus

by Allen Wolmer

A Firefly Lectures video on this topic.

Video duration:  11:07

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### The Fundamental Theorem of Calculus

by Allen Wolmer

A Math League of America video on this topic.

Video duration:  11:45

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### The Fundamental Theorem Exercises

by Allen Wolmer

Mooculus Calculus Textbook Exercises, Sect 13.1 p 214 (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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### Fundamental Theorem of Calculus Exercises

by Allen Wolmer

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.
• 8 Look for and express regularity in repeated reasoning.
Curriki RatingNR

### The Integral Function Exercises

by Allen Wolmer

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.
• 8 Look for and express regularity in repeated reasoning.
Curriki RatingNR

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