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Unit 6 of 10

Integration and Accumulation of Change

This unit introduces integration as accumulation and as the reverse process of differentiation. Students learn Riemann sums, definite integrals, the Fundamental Theorem of Calculus, antiderivatives, and major integration techniques.

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UnitsLessons
  1. 03Differentiation: Composite, Implicit, and Inverse Functions6
  2. 04Contextual Applications of Differentiation7
  3. 05Analytical Applications of Differentiation12
  4. 06Integration and Accumulation of Change14
  5. 07Differential Equations9
  6. 08Applications of Integration13
  7. 09Parametric Equations, Polar Coordinates, and Vector-Valued Functions9
3 more units in the course outline
Units of AP® Calculus BC

Lessons

14 lessons in this unit

  1. 6.1Exploring Accumulations of ChangePreview lesson
  2. 6.2Approximating Areas with Riemann SumsPreview lesson
  3. 6.3Riemann Sums, Summation Notation, and Definite Integral NotationPreview lesson
  4. 6.4The Fundamental Theorem of Calculus and Accumulation FunctionsPreview lesson
  5. 6.5Interpreting the Behavior of Accumulation Functions Involving AreaPreview lesson
  6. 6.6Applying Properties of Definite IntegralsPreview lesson
  7. 6.7The Fundamental Theorem of Calculus and Definite IntegralsPreview lesson
  8. 6.8Finding Antiderivatives and Indefinite Integrals: Basic Rules and NotationPreview lesson
  9. 6.9Integrating Using SubstitutionPreview lesson
  10. 6.10Integrating Functions Using Long Division and Completing the SquarePreview lesson
  11. 6.11Selecting Techniques for AntidifferentiationPreview lesson
  12. 6.12Integrating Using Integration by PartsPreview lesson
  13. 6.13Integrating Using Linear Partial FractionsPreview lesson
  14. 6.14Evaluating Improper IntegralsPreview lesson

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