Created on: October 31, 2014

Website Address: https://library.curriki.org/oer/I5-Use-the-Fundamental-Theorem-of-Calculus

TABLE OF CONTENTS

- Integrals Table of Contents by Standard
- I.1: Use Rectangle Approximations to Find Approximate Values of Integrals.
- I.2: Calculate the Values of Riemann Sums.
- I.3: Interpret a Definite Integral as a Limit of Riemann Sums.
- I.4: Understand the Fundamental Theorem of Calculus
- I.5: Use the Fundamental Theorem of Calculus.
- I.6: Understand and Use the Properties of Definite Integrals.
- I.7: Understand and Use Integration by Substitution.
- I.8: Understand and Use Riemann Sums and Trapezoidal Sums.

- The Fundamental Theorem
- Fundamental Theorem of Calculus
- The Antiderivative and Indefinite Integration
- The Antiderivative and Indefinite Integration, Additional Examples
- Definite Integrals and the Fundamental Theorem of Calculus
- How to Determine the Value of a Definite Integral on the Graphing Calculator
- Definite Integral Example 1
- Definite Integral Example 2
- Definite Integral: Calc (Graphing)
- Definite Integral: Calc (Nongraphing)
- Antiderivatives and Indefinite Integration
- FTC Evaluating Definite Integrals
- Fundamental Theorem of Calculus AP Style Problems
- The Fundamental Theorem Exercises
- Fundamental Theorem of Calculus Exercises
- Fundamental Theorem of Calculus - Derivatives Exercises
- Integration Power Rule Exercises
- Integration - Logarithmic Rule and Exponentials Exercises
- Integration - Trigonometric Functions Exercises
- Indefinite Integrals Exercises
- The Exponential Function Integral Exercises
- Arbitrary Powers; Other Bases Differentiation and Integration Exercises

Use the Fundamental Theorem of Calculus to evaluate definite and indefinite integrals and to represent particular antiderivatives. Perform analytical and graphical analysis of functions so defined.

Mooculus Calculus Textbook Section 13.1 pp 208-213

A Youtube Calculus Workbook (Part 1). A guide through a playlist of instructional Calculus Videos. Section 16.1 pp 222-224The 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.

Instructional video from NROC/Hippocampus on the Antiderivative and Indefinite Integration from the Phoenix College Collection -Calculus II.Video duration: 10:23

Instructional video from NROC/Hippocampus on the Antiderivative and Indefinite Integration, Additional Examples from the Phoenix College Collection-Calculus II.Video duration: 6:22

Instructional video from NROC/Hippocampus on Definite Integrals and the Fundamental Theorem of Calculus from the Phoenix College Collection-Calculus II.Video duration: 10:22

Instructional video from NROC/Hippocampus on How to Determine the Value of a Definite Integral on the Graphing Calculator from the Phoenix College Collection-Calculus 1. Video duration: 4:09

A Firefly Lectures video on this topic.Video duration: 5:19

A Firefly Lectures video on this topic.Video duration: 4:13

A Firefly Lectures video on this topic.Video duration: 4:25

A Firefly Lectures video on this topic.Video duration: 5:43

A Math League of America video on this topic.Video duration: 18:23

A Math League of America video on this topic.Video duration: 10:09

A Math League of America video on this topic.Video duration: 14:48

Mooculus Calculus Textbook Exercises, Sect 13.1 p 214 (Ans p 254)This set of exercises supports the following Standards of Mathematical Practice1 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.

This set of exercises supports the following Standards of Mathematical Practice1 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.

This set of exercises supports the following Standards of Mathematical Practice1 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.

This set of exercises supports the following Standards of Mathematical Practice1 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.

This set of exercises supports the following Standards of Mathematical Practice1 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.

This set of exercises supports the following Standards of Mathematical Practice1 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.

This set of exercises supports the following Standards of Mathematical Practice1 Make sense of problems and persevere in solving them.2 Reason abstractly and quantitatively.4 Model with mathematics.5 Use appropriate tools strategically.6 Attend to precision.7 Look for and make use of structure.

This set of exercises supports the following Standards of Mathematical Practice1 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.

This set of exercises supports the following Standards of Mathematical Practice1 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.