The fundamental theorem of calculus and exact areas

What this note covers

1. An area that changes with its upper limit
2. Why the derivative recovers the integrand
3. Evaluating a definite integral with an antiderivative
4. Reading the shape of an accumulation function
5. The net-change statement of the theorem
6. Choosing the correct function and checking the result
7. Exact area with crossings and symmetry
8. An accumulation function analysed completely

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