UnofficialAP Calculus ABUnit 8 of 8
AP Calculus AB Unit 8: Applications of Integration
Average value, motion, accumulation, area between curves and volumes by cross sections and revolution.
Key topics
- Area between curves
- Integrate top minus bottom.
- Volumes of revolution
- Disc and washer methods.
Free-response practice
Original practice questions in the free-response style. You score them with a point-by-point rubric; AI grading appears only when this site has it configured.
More practice on this site
- Limits Study Guide (study guide)
- Derivative Rules cheat sheet (one-page formulas)
- Derivative Basics Quiz (quick quiz)
- Derivatives Practice Test (25-minute timed test)
- Derivative Rules (9 flashcards)
- Calculus practice problems (with worked solutions)
See the AP Calculus AB exam format and every unit on the course page.