**Ch 7 - Applications of Integration**

**Chapter 7 PDF Resource**

calculus_chapter_7.pdf |

**Lecture Notes & Videos**

Section 7-1 (Day 1)

Area Between Two Curves

-----VIDEO: The Area Between Two Curves - The Definition & How to Set-Up the Integral - Part 1

-----VIDEO: The Area Between Two Curves - Sketching & Setting Up the Definite Integral - Part 2

Section 7-1 (Day 2)

Area Between Two or More Intersecting Curves

Disk Method Notes

Section 7-2 (Day 1)

Disk Method

-----VIDEO: Disk Method

Washer Method Notes

Section 7-2 (Day 2)

Washer Method

-----VIDEO: Washer Method

4 Cases using Washer Method

Shell Method Notes

Section 7-3

Shell Method

Visual Comparison of Disk, Washer, and Shell Method

Volume of Known Cross Sections

Picture Showing Various Known Cross Sections for y = x^2

VIDEO: Storing An Intersection Point into A on the TI-84

Calculus: Volume Lab

This document contains the instructions for completing the Volume Lab.

-----VIDEO: How to Connect the TI-84 to a Macbook Air & Use the TI Connect CE Software

-----VIDEO: How to Choose a Background Picture on the TI-84

-----VIDEO: Regression Using the Quick Plot & Fit Feature on the TI-84

Area Between Two Curves

-----VIDEO: The Area Between Two Curves - The Definition & How to Set-Up the Integral - Part 1

-----VIDEO: The Area Between Two Curves - Sketching & Setting Up the Definite Integral - Part 2

Section 7-1 (Day 2)

Area Between Two or More Intersecting Curves

Disk Method Notes

Section 7-2 (Day 1)

Disk Method

-----VIDEO: Disk Method

Washer Method Notes

Section 7-2 (Day 2)

Washer Method

-----VIDEO: Washer Method

4 Cases using Washer Method

Shell Method Notes

Section 7-3

Shell Method

Visual Comparison of Disk, Washer, and Shell Method

Volume of Known Cross Sections

Picture Showing Various Known Cross Sections for y = x^2

VIDEO: Storing An Intersection Point into A on the TI-84

Calculus: Volume Lab

This document contains the instructions for completing the Volume Lab.

-----VIDEO: How to Connect the TI-84 to a Macbook Air & Use the TI Connect CE Software

-----VIDEO: How to Choose a Background Picture on the TI-84

-----VIDEO: Regression Using the Quick Plot & Fit Feature on the TI-84

**Worksheets**

Open Ended AP Questions WS #8

Differential Eq & Growth/Decay Review WS #1

Chapter 6 Review WS #2

Chapter 6 Review WS #2 KEY

Integration Review WS

Graphing Piecewise Functions WS

Miscellaneous Review WS #3

Disk Method WS #1

Derivatives Review WS

Disk Method WS #2

Washer Method WS #1

Washer Method WS #2

Miscellaneous Review WS #4

Miscellaneous Review WS #4 KEY

Shell Method WS #1

Volume WS #1

Solids with Known Cross-Sections WS

Separable Differential Equations WS

Volumes AP Calculus WS

Areas & Volumes & Volumes of Known Cross-Sections WS

Area & Volume WS #1

Volumes WS #2

Separable Differential Equations WS #2

Differential Eq & Growth/Decay Review WS #1

Chapter 6 Review WS #2

Chapter 6 Review WS #2 KEY

Integration Review WS

Graphing Piecewise Functions WS

Miscellaneous Review WS #3

Disk Method WS #1

Derivatives Review WS

Disk Method WS #2

Washer Method WS #1

Washer Method WS #2

Miscellaneous Review WS #4

Miscellaneous Review WS #4 KEY

Shell Method WS #1

Volume WS #1

Solids with Known Cross-Sections WS

Separable Differential Equations WS

Volumes AP Calculus WS

Areas & Volumes & Volumes of Known Cross-Sections WS

Area & Volume WS #1

Volumes WS #2

Separable Differential Equations WS #2

**Study Guides**

**Interactive Animations**

Calculus is the study of change. The ability to change a parameter and immediately see the result can demonstrate that change and how things are related during that change. Many of these concepts are much easier to explain if that change, the motion, can be visually demonstrated in class. Therefore, this is a perfect place for the use of computer animations.

All animations were created using the GeoGebra dynamic mathematics software application located on GeoGebra's website.

All animations were created using the GeoGebra dynamic mathematics software application located on GeoGebra's website.

**Please be patient! It takes awhile for these to load.**

Widen the browser, if necessary, to see the entire animation.

Widen the browser, if necessary, to see the entire animation.

**Area Between Two Curves (Vertical Rectangles)**

This dynamic illustration estimates the area between two curves as the limit of a Riemann sum.

Move the sliders or change the functions to approximate the area between two curves.

Move the sliders or change the functions to approximate the area between two curves.

**Area Between Two Curves (Horizontal Rectangles)**

This dynamic illustration estimates the area between two curves as the limit of a Riemann sum.

Move the sliders or change the functions to approximate the area between two curves.

Move the sliders or change the functions to approximate the area between two curves.

**Disk Method**