Section 5.3: The definite integral and the Fundamental Theorem of Calculus

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Learning Objectives
  1. Express the area under a curve as the limit of sum.
  2. Define the definite integral as the limit of an appropriate sum and study its properties.
  3. Apply the fundamental theorem of calculus to evaluate definite integrals.
  4. Use the fundamental theorem of calculus to solve applied problems involving net change.
  5. Evaluate definite integrals using the substitution rule.
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Slides

Annotated slides for Section 5.3.


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