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Library AP Calculus AB/BC Unit 8: Applications of Integration
⁂   AP Calculus AB/BC · Unit 8

8. Applications of Integration

10–15% of the AP exam. Key topics: Average value of a function on an interval, Area between curves, Volumes of solids with known cross-sections, Volumes of solids of revolution: disk method, Volumes of solids of revolution: washer method, Position, velocity, and displacement using integration, Total distance traveled vs. net displacement.

19 instructional periods 10–15% exam weight AB track

Unit 8: Applications of Integration

Study guide content for this unit is being prepared. Check back soon for complete lesson notes, formula sheets, and worked examples.

Topics in this unit

  • Average value of a function on an interval
  • Area between curves
  • Volumes of solids with known cross-sections
  • Volumes of solids of revolution: disk method
  • Volumes of solids of revolution: washer method
  • Position, velocity, and displacement using integration
  • Total distance traveled vs. net displacement

Worked FRQ Solutions

Free-response questions from past AP exams that test this unit's concepts.