Chapter 5

5.1 Distance and Accumulated Change

  • How to measure distance traveled from velocity
  • How to measure distance traveled from a velocity-time graph
  • How to measure distance traveled from table
  • Upper and Lower estimates

Check Your Understanding

Check Your Understanding Chapter 5 Section 1

Check Your Understanding Chapter 5 Section 1 Solutions

 

5.2 The Definite Integral

  • What does a Definite Integral mean
  • How is a Definite Integral calculated
  • Left and Right-Hand sums (Riemann sums)
  • Sigma notation for Riemann sums
  • Definite Integral from a table
  • Definite Integral from a graph
  • Computing Definite Integrals

Check Your Understanding

Check Your Understanding Chapter 5 Section 2

Check Your Understanding Chapter 5 Section 2 Solutions

 

5.3 The Definite Integral as Area

  • How to find the Definite Integral from the area under a graph
  • How to analyze positive and negative areas
  • Calculating the area between two curves on a graph

Check Your Understanding

Check Your Understanding Chapter 5 Section 3

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5.4 Interpretations of the Definite Integral

  • Notation of a Definite Integral
  • Units of the Definite Integral
  • What does the Definite Integral mean

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Check Your Understanding Chapter 5 Section 4

Check Your Understanding Chapter 5 Section 4 Solutions

 

5.5 The Fundamental Theorem of CalculusĀ 

  • What is the Fundamental Theorem of Calculus (FTC)
  • Notation of the FTC
  • Relationship between rate of change and total change

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Check Your Understanding Chapter 5 Section 5

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Full Chapter Review

Chapter 5 Review

Chapter 5 Review Solutions