Areas under and between curves, total change from a rate, and linear motion

What this note covers

1. Area under a curve and the role of boundaries
2. Area between two curves
3. Splitting a region when the upper curve changes
4. Accumulating a rate into a final quantity
5. Displacement and distance from velocity
6. Recovering motion from acceleration and initial conditions
7. Connected reasoning across Applications of integration
8. Error analysis and final checks for Applications of integration

8 sections · 10 key terms & formulas · 6 common mistakes