The Nature of Mathematics, 12th Edition
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Chapter1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Chapter 9
Chapter 10
Chapter 11
Chapter 12
Chapter 13
Chapter 14
Chapter 15
Chapter 16
Chapter 17
Chapter 18
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Section 18.4: Integrals

18.4 Outline

A.  Area function
      1. definition
      2. antiderivative
      3. antiderivative of ex.
      4. properties of antiderivative
          a. constant multiple
          b. antiderivative of a sum
B. Antiderivative's as area
C. The definite integral
      1. definition
      2. integral
      3. limits of integration
      4. dummy variable
      5. indefinite integral
D.  Areas as antiderivatives

18.4 Essential Ideas