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MathKanection

Unit 7
(Chapter 8):
applications of definite integrals

Practice Definite Integrals, Polar Curves, Length
Quick Refresher
Area Under a Curve
Graphs of Polar Curve
Length of a Segment

8.1 Area Between Curves

Area Between Curves
      Handout
      Notes
       AP FRQ Practice
          Solutions
     
      1995 & 1997 FRQs
          Solutions
 
      AP M/C Practice
          Solutions
Area Btn Curves Resources
     Khan Academy Btn a curve & x-axis
     Khan Academy Btn 2 Curves given endpts
​
     Khan Academy Btn 2 Curves
     Khan Academy Btn Curves in terms of y
     Khan Academy Btn 2 Curves  (more than 2 areas)


9.4 Polar Functions

Area Inside/Outside Polar Functions
     Guided Notes

     Notes

    
Desmos: Polar Area Shader

Polar Area Resources
     Khan Academy  Area Polar Intro
     Khan Academy Polar Area

Area Between Polar Curves
    Area Between Polar Graphs
        Solutions

   Desmos: Shading Area btn Polar Curves
 
   
    
Practice Problem
    AP FRQ Practice
    AP M/C Practice
        Solutions

Area Btn Polar Curves Resources
​     Khan Academy Polar Area Btn 2 Curves
     Khan Academy Polar Area Calculator

8.4 Volume

Volumes of Cross Sections
      Guided Notes
          Filled In

       Cross Section Examples
          Solutions
       Cross Section M/C FRQ Practice
          Solutions
Volume Cross Sections Resources
​     Khan Academy Cross Section Intro
     Khan Academy Volume w/Squares & Rectangles
     Khan Academy Volume w/Triangles & Semicircles

8.2 Volume (Cont'd)

Volumes of Revolution
      Disk Method Guided Notes
         Filled In

       Handout
          Solutions

​       
      
Washer Method Guided Notes
           Filled In
       Disk & Washer Practice Handout
          Solutions
Volume Disk Method Resources
​     Khan Academy Disk Method around x or y-axis
     Khan Academy Disk Method Other Axes

Volume Washer Method Resources
​     Khan Academy Washer Method around x or y-axis
     Khan Academy Washer Method Other Axes

      Area & Volume FRQ Practice
​         Solutions

9.2/9.5/9.7 Lengths of Curves

 Lengths of Curves (Distance on a Curve)
     
Guided Notes
​          Filled In

     Handout
         Solutions
Lengths of Curves Resources
​     Khan Academy Arc Length

 10.1 Parametric Functions
     
Notes
​
     Guided Notes Handout
 10.2 Vectors in the Plane
     
Notes
​        Solutions
      FRQ practice w/solutions
Lengths of Curves Resources
​     Khan Academy Parametric Arc Length

Unit 7 (Chapter 8) Review

      Who Wants to be a Millionaire Review Game (AB topics)
     
     Self-Reflection
​
    
Unit 7 Review
​         Solutions


     AP Topic: Area & Volume
         Solutions 

     AP Topic: Polar
          Solutions

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  • Home
  • AP Calculus AB
    • AB Unit 1: Functions, Graphs & Limits
    • AB Unit 2: Derivatives
    • AB Unit 3: Derivatives Continued
    • AB Unit 4: Applications of Derivatives
    • AB Unit 5: Definite Integrals
    • AB Unit 6: Diff Eqs & Math Modeling
    • AB Unit 7: Applications of Definite Integrals
    • AB AP Review
  • AP Calculus BC
    • BC Unit 1: Limits, Continuity, Basic Derivatives
    • BC Unit 2: Derivatives
    • BC Unit 3: Derivatives Continued
    • BC Unit 4: Applications of Derivatives
    • BC Unit 5: Definite Integrals
    • BC Unit 6: Diff Eqs & Math Modeling
    • BC Unit 7: Applications of Definite Integrals
    • BC Unit 8: L'Hôpital & Improper Integrals
    • BC Unit 9: Infinite Series
    • BC AP Review
  • Pre-Calculus
    • PreCalc Unit 1
    • PreCalc Unit 2
    • PreCalc Unit 3
    • PreCalc Unit 4
    • PreCalc Unit 5
    • PreCalc Unit 6
    • PreCalc Unit 7
    • PreCalc Unit 8
    • PreCalc Unit 9
    • PreCalc Unit 10
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