• Home
  • YouTube Channel
    • All Playlists on YouTube
  • TI-84 Tutorials
  • How to Convert HW to a PDF File
  • Graph Paper
  • M104 at IUK
    • TI-84 Tutorials
    • MyMathLab Registration
    • Semester Schedule
    • Chapter 1
    • Chapter 2
    • Chapter 3
    • Chapter 4
    • Chapter 5
    • Practice Tests
    • Released Exams & Quizzes
  • M105 at IUK
    • TI-84 Tutorials
    • Semester Schedule & M105 At A Glance
    • Course Syllabus & Lecture Content List
    • Chapter 5
    • Chapter 6
    • Chapter 7
    • Chapter 4
    • Chapter 8
    • Test Review
    • Released Exams & Quizzes
  • AP Calculus AB at THS
    • Calculus Class Pictures
    • Calculus Student Inventory
    • TI-84 Tutorials
    • Zoom Meeting Recordings
    • Monthly Calendars
    • AP College Board YouTube
    • AP Calculus AB Exam
    • ACP Calculus - IU
    • Memorization Sheets
    • Calculus Memorization Quizzes
    • Test/Quiz Correction Analysis
    • Chapter P
    • Chapter 1
    • Chapter 2
    • Chapter 3
    • Chapter 4
    • Chapter 5
    • Chapter 6
    • Chapter 7
    • Chapter 8
    • Last Chapter/Review
    • Final Exam Review WS
    • Final Calculus Video Project
    • Past AP Calculus AB Scores
  • Pre-Calculus (H) at THS
    • TI-84 Tutorials
    • Monthly Calendars
    • Pre-Calculus Student Inventory
    • Trig Memorization Quizzes
    • Web Logs >
      • Web Log #1
      • Web Log #2
      • Web Log #3
      • Web Log #4
      • Web Log #5
      • Web Log #6
      • Web Log #7
      • Web Log #8
      • Web Log #9
      • Web Log #10
      • Web Log #11
      • Web Logs #12 - 17
    • Chapter 1
    • Chapter 2
    • Chapter 3
    • Chapter 4
    • Chapter 5
    • Chapter 6
    • Chapter 8
    • Chapter 7
    • Final Exam Study Guides
    • Regression Project
    • Are You Ready for Calculus? >
      • Independent Calculus Preparation
      • ETSU Calculus I Readiness Assessment
      • University of California Calculus Readiness Test
      • Sample Mathematics Placement Exam
      • Paper & Pencil Practice Exams
  • Pre-Calculus (R) at THS
    • TI-84 Tutorials
    • Pre-Calculus Student Inventory
    • Monthly Calendars
    • Zoom Meeting Recordings
    • Chapter P
    • Chapter 1
    • Chapter 2
    • Chapter 3
    • Chapter 4
    • Chapter 5
    • Chapter 6
    • Chapter 7
    • Chapter 10
    • Projects >
      • Math Goes To The Movies
      • Curve Project Screencast
      • Topic Screencast
      • Let The Artist in You Shine! Project
      • Mathematician Presentation Using Google Slides
      • Which Mathematician Was Born on Your Birthday? Project
      • Parabola Project Using Desmos
      • Regression Project
      • Programming the TI-84 Project
      • Law of Sines & Law of Cosines Diorama Project
      • Trigonometry Goes To The Movies A Poster Project
  • Exit Ticket
  • Calculator Recommendation
  • Cole's World of Mathematics Disclaimer
    • Cole's World of Mathematics Privacy Policy
COLE'S WORLD OF MATHEMATICS
  • Home
  • YouTube Channel
    • All Playlists on YouTube
  • TI-84 Tutorials
  • How to Convert HW to a PDF File
  • Graph Paper
  • M104 at IUK
    • TI-84 Tutorials
    • MyMathLab Registration
    • Semester Schedule
    • Chapter 1
    • Chapter 2
    • Chapter 3
    • Chapter 4
    • Chapter 5
    • Practice Tests
    • Released Exams & Quizzes
  • M105 at IUK
    • TI-84 Tutorials
    • Semester Schedule & M105 At A Glance
    • Course Syllabus & Lecture Content List
    • Chapter 5
    • Chapter 6
    • Chapter 7
    • Chapter 4
    • Chapter 8
    • Test Review
    • Released Exams & Quizzes
  • AP Calculus AB at THS
    • Calculus Class Pictures
    • Calculus Student Inventory
    • TI-84 Tutorials
    • Zoom Meeting Recordings
    • Monthly Calendars
    • AP College Board YouTube
    • AP Calculus AB Exam
    • ACP Calculus - IU
    • Memorization Sheets
    • Calculus Memorization Quizzes
    • Test/Quiz Correction Analysis
    • Chapter P
    • Chapter 1
    • Chapter 2
    • Chapter 3
    • Chapter 4
    • Chapter 5
    • Chapter 6
    • Chapter 7
    • Chapter 8
    • Last Chapter/Review
    • Final Exam Review WS
    • Final Calculus Video Project
    • Past AP Calculus AB Scores
  • Pre-Calculus (H) at THS
    • TI-84 Tutorials
    • Monthly Calendars
    • Pre-Calculus Student Inventory
    • Trig Memorization Quizzes
    • Web Logs >
      • Web Log #1
      • Web Log #2
      • Web Log #3
      • Web Log #4
      • Web Log #5
      • Web Log #6
      • Web Log #7
      • Web Log #8
      • Web Log #9
      • Web Log #10
      • Web Log #11
      • Web Logs #12 - 17
    • Chapter 1
    • Chapter 2
    • Chapter 3
    • Chapter 4
    • Chapter 5
    • Chapter 6
    • Chapter 8
    • Chapter 7
    • Final Exam Study Guides
    • Regression Project
    • Are You Ready for Calculus? >
      • Independent Calculus Preparation
      • ETSU Calculus I Readiness Assessment
      • University of California Calculus Readiness Test
      • Sample Mathematics Placement Exam
      • Paper & Pencil Practice Exams
  • Pre-Calculus (R) at THS
    • TI-84 Tutorials
    • Pre-Calculus Student Inventory
    • Monthly Calendars
    • Zoom Meeting Recordings
    • Chapter P
    • Chapter 1
    • Chapter 2
    • Chapter 3
    • Chapter 4
    • Chapter 5
    • Chapter 6
    • Chapter 7
    • Chapter 10
    • Projects >
      • Math Goes To The Movies
      • Curve Project Screencast
      • Topic Screencast
      • Let The Artist in You Shine! Project
      • Mathematician Presentation Using Google Slides
      • Which Mathematician Was Born on Your Birthday? Project
      • Parabola Project Using Desmos
      • Regression Project
      • Programming the TI-84 Project
      • Law of Sines & Law of Cosines Diorama Project
      • Trigonometry Goes To The Movies A Poster Project
  • Exit Ticket
  • Calculator Recommendation
  • Cole's World of Mathematics Disclaimer
    • Cole's World of Mathematics Privacy Policy
COLE'S WORLD OF MATHEMATICS
Ch 7 - Applications of Integration
Chapter 7 PDF Resource
calculus_chapter_7.pdf
File Size: 3030 kb
File Type: pdf
Download File


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


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


Study Guides
QUIZ Study Guide for Sections 7-1 to 7-2 w/ Review

TEST Study Guide for Chapters 6 and 7 w/ Review

Area & Volume Quiz Study Guide


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.
Please be patient! It takes awhile for these to load.  
​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.
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.
Disk Method

Picture
Copyright © 2013-21
​Cole's World of Mathematics.
ALL RIGHTS RESERVED.
Picture
Picture