Created on: October 31, 2014

Website Address: https://library.curriki.org/oer/I6-Understand-and-Use-the-Properties-of-Definite-Integrals

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.

Understand and use the properties of definite integrals.

Mooculus Calculus Textbook Section 12.1 pp 197-200

A Youtube Calculus Workbook (Part 1). A guide through a playlist of instructional Calculus Videos. Section 14.5 pp 203-206The 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 Properties of Definite Integrals and the Area Bounded by Two Graphs from the Phoenix College Collection-Calculus II.Video duration: 6:11

A Firefly Lectures video on this topic.Video duration: 7:33

A Math League of America video on this topic.Video duration: 18:31

A Youtube video on this topic.Video duration: 34:39

Mooculus Calculus Textbook Exercises, Sect 12.1 p 201 (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.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.