All AP Courses

Unit 8

AP Calculus AB Unit 8: Applications of Integration

10–15% of the multiple-choice section · 12 topics

Average value, motion and accumulation with integrals, area between curves, and volumes by cross sections, discs and washers.

Topics

  1. 8.1Finding the Average Value of a Function on an Interval
  2. 8.2Connecting Position, Velocity, and Acceleration of Functions Using Integrals
  3. 8.3Using Accumulation Functions and Definite Integrals in Applied Contexts
  4. 8.4Finding the Area Between Curves Expressed as Functions of x
  5. 8.5Finding the Area Between Curves Expressed as Functions of y
  6. 8.6Finding the Area Between Curves That Intersect at More Than Two Points
  7. 8.7Volumes with Cross Sections: Squares and Rectangles
  8. 8.8Volumes with Cross Sections: Triangles and Semicircles
  9. 8.9Volume with Disc Method: Revolving Around the x- or y-Axis
  10. 8.10Volume with Disc Method: Revolving Around Other Axes
  11. 8.11Volume with Washer Method: Revolving Around the x- or y-Axis
  12. 8.12Volume with Washer Method: Revolving Around Other Axes

Unit check

12 questions drawn from every lesson in Unit 8. Each wrong answer links back to where the idea is taught.

Take the Unit 8 check