I.5: Use the Fundamental Theorem of Calculus.
Created on: October 31, 2014
Website Address: https://library.curriki.org/oer/I5-Use-the-Fundamental-Theorem-of-Calculus
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TABLE OF CONTENTS
I.5: Use the Fundamental Theorem of Calculus.
- 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.
Collection Contents
The Fundamental Theorem
by Allen WolmerMooculus Calculus Textbook Section 13.1 pp 208-213
Fundamental Theorem of Calculus
by Allen WolmerA 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.
The Antiderivative and Indefinite Integration
by Allen WolmerInstructional 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
Definite Integrals and the Fundamental Theorem of Calculus
by Allen WolmerInstructional 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
Definite Integral Example 1
by Allen WolmerA Firefly Lectures video on this topic.Video duration: 5:19
Definite Integral Example 2
by Allen WolmerA Firefly Lectures video on this topic.Video duration: 4:13
Definite Integral: Calc (Graphing)
by Allen WolmerA Firefly Lectures video on this topic.Video duration: 4:25
Definite Integral: Calc (Nongraphing)
by Allen WolmerA Firefly Lectures video on this topic.Video duration: 5:43
Antiderivatives and Indefinite Integration
by Allen WolmerA Math League of America video on this topic.Video duration: 18:23
FTC Evaluating Definite Integrals
by Allen WolmerA Math League of America video on this topic.Video duration: 10:09
Fundamental Theorem of Calculus AP Style Problems
by Allen WolmerA Math League of America video on this topic.Video duration: 14:48
The Fundamental Theorem Exercises
by Allen WolmerMooculus 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.
Fundamental Theorem of Calculus Exercises
by Allen WolmerThis 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.
Fundamental Theorem of Calculus - Derivatives Exercises
by Allen WolmerThis 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.
Integration Power Rule Exercises
by Allen WolmerThis 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.
Integration - Logarithmic Rule and Exponentials Exercises
by Allen WolmerThis 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.
Integration - Trigonometric Functions Exercises
by Allen WolmerThis 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.
Indefinite Integrals Exercises
by Allen WolmerThis 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.
The Exponential Function Integral Exercises
by Allen WolmerThis 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.
