Areas Between Curves and Volumes of Solids of Revolution

What this note covers

1. 1. Area Between Two Curves — Upper Minus Lower
2. 2. Area With Respect to y
3. 3. The Idea of a Solid of Revolution — Slicing Into Discs
4. 4. Volumes About the x-Axis: V = π∫y² dx
5. 5. Volumes About the y-Axis: V = π∫x² dy
6. 6. The Region Between Two Curves — Washers
7. 7. Exam Strategy and a Full Worked Example

7 sections · 12 key terms & formulas · 6 common mistakes

Common questions