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6.4 - The Fundamental Theorem of Calculus


6.4 - The Fundamental Theorem of Calculus, Notes
The Fundamental Theorem of Calculus ties together all concepts learned thus far in AP Calculus AB as well as several other mathematical concepts.

6.4 - Fundamental Theorem of Calculus, Video Part 1 of 3
6.4 - The Fundamental Theorem of Calculus (FTC), Video Part 1 of 3.  This is the Evaluation Part of the FTC, which some textbooks refer to as Part 2.  This part of the FTC is used to find the area under the curve of a continuous function, and to find displacement or total distance given a velocity function.  Of course, there are more applications.

6.4 - Fundamental Theorem of Calculus, Video Part 2 of 3
6.4 - The Fundamental Theorem of Calculus (FTC), Video Part 2 of 3.  This is the Antiderivative Part of the FTC, which some textbooks refer to as Part 1.  This part of the FTC is ties together Deferential Calculus and Integral Calculus and is considered one of the most important theorems of Calculus.

6.4 - Fundamental Theorem of Calculus, Video Part 3 of 3
6.4 - The Fundamental Theorem of Calculus (FTC), Video Part 3 of 3.  This video connects the concepts of increasing/decreasing, maximums/minimums, concavity, and inflection points; critical to know for the AP Calculus AB test.

6.4 - FTC Pearson Lesson Video
6.4 - FTC Pearson PowerPoint Lesson
6.4 - FTC PowerPoint Lesson by Greg Kelly

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  • Home
  • Integrated Math 3
    • Homework Calendars
    • Chapter 2 - Linear Equations, Inequalities, and Functions >
      • 2-1/2-2 Solving Equations/Inequalities
      • 2-3 Linear Functions and Slope-Intercept Form
      • 2-4 Families of Functions
      • 2-5 Absolute Value Functions and Graphs
      • 2-6 Two-Variable Inequalities
      • 2-7 Solving Systems of Equations
      • 2-8 Systems of Inequalities
      • 2-9 Systems With Three Variables
      • Chapter 2 Reviews
    • Chapter 3 - Quadratic Functions and Equations >
      • 3-1 Quadratic Functions and Transformations
      • 3-2 Standard Form of a Quadratic Function
      • 3-3 Factoring Quadratic Expressions
      • 3-3b Intercept Form
      • 3-4 Quadratic Equations
      • Graphing Quadratics Handouts
      • 3-5 Completing the Square
      • 3-6 The Quadratic Formula
      • Chapter 3 Reviews
    • Chapter 4 Polynomials and Polynomial Functions >
      • 4-1 Polynomial Functions
      • 4-2 Adding, Subtracting, and Multiplying Polynomials
      • 4-3 Polynomials, Linear Factors, and Zeros
      • 4-4 Solving Polynomial Equations
      • 4-5 Dividing Polynomials
      • 4-6 Theorems About Roots of Polynomial Equations
      • Chapter 4 Handouts
      • Chapter 4 Reviews
    • Chapter 5 - Rational Expressions and Functions >
      • 5-1 Simplifying Rational Expressions
      • 5-2 Multiplying and Dividing Rational Expressions
      • 5-3 Adding and Subtracting Rational Expressions
      • 5-5 The Reciprocal Function Family
      • 5-7 Solving Rational Equations
      • Chapter 5 Handouts
      • Chapter 5 Reviews
    • Chapter 6 - Radical Expressions and Functions >
      • 6-1 Roots and Radical Expressions
      • 6-2 Multiplying and Dividing Radical Expressions
      • 6-3 Binomial Radical Expressions
      • 6-4 Rational Exponents
      • 6-5 Solving Square Root and Other Radical Equations
      • 6-6 Functions Operations
      • 6-7 Inverse Relations and Functions
      • 6-8 Graphing Radical Functions
      • Chapter 6 Handouts
      • Chapter 6 Reviews
    • Chapter 7 - Exponential and Logarithmic Functions >
      • 7-1 Exploring Exponential Models
      • 7-2 Properties of Exponential Functions
      • 7-3 Logarithmic Functions as Inverses
      • 7-4 Properties of Logarithms
      • 7-5 Exponential and Logarithmic Equations
      • 7-6 Natural Logarithms
      • Chapter 7 Handouts
      • Chapter 7 Reviews
    • Chapter 8 - Trigonometric Functions >
      • 8-0 Right Triangle Trigonometry
      • 8-1 Exploring Periodic Data
      • 8-2 Angles and the Unit Circle
      • 8-3 Radian Measure
      • Chapter 8 Handouts
      • Chapter 8 Reviews
    • Spring 2019 Final Project
  • About
  • Contact