Integrating rates of change and motion problems

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. A piecewise velocity journey
8. Building an area model before integrating

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