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5.1 | 5.2 | 5.3 | 5.4 | 5.5

Chapter 5 - Contents

Section 5.1 - Areas and Distances
Notes Topics
Section 5.1 Slides Area Under a Graph (i)
  Area Under a Graph (ii)
  Example - Estimating Area
  Distance and Area
  Example - Estimating Distance Traveled
Section 5.2 - Definite Integral
Notes Topics
Section 5.2 notes Riemann Sums and the Definite Integral
  Interpretation of Definite Integral as Signed Area
  Examples - Evaluating Integrals in Terms of Area
  Properties of the Definite Integral - (1)
  Properties of the Definite Integral - (2)
  Midpoint Rule for Evaluating a Definite Integral
Section 5.3 - The Fundamental Theorem of Calculus
Notes Topics
Section 5.3 - Slides The Fundamental Theorem of Calculus
  Fundamental Theorem - continued
  Examples - Differentiating Integrals
  Examples - Evaluating Definite Integrals
Section 5.4 - Indefinite Integrals and the Total Change Theorem
Notes Topics
Section 5.4 - Notes Indefinite Integrals
  Integral Formulas
  Total Change
  Displacement & Distance Traveled
  Example
Section 5.5 - The Substitution Rule
Notes Topics
Section 5.5 - Notes Example 1 - Substitution in Indefinite Integrals
  Example 2 - Substitution in Indefinite Integrals
  Useful Comments on Substitution
  Examples 3 & 4 - Substitution in Indefinite Integrals
  Example 1 - Substitution in Definite Integrals
  Example 2 - Substitution in Definite Integrals
  Example 3 - Substitution in Definite Integrals

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