Unit 6 · Integration and Accumulation of Change
Chapter 6.3
The Fundamental Theorem, Part 1: Accumulation Functions
The area-so-far is itself a function. Differentiate it, and Unit 2 comes back — the bridge between the two halves of calculus.
12–16 min · free · lesson 32 of 46
By the end
- 01Define and evaluate accumulation functions
- 02Apply FTC part 1, including with the chain rule
- 03Read extrema and concavity of an accumulation function from the graph of its integrand
In unit 6
- 6.1Accumulation: The Other Half of Calculus10–14
- 6.2Riemann Sums and the Definite Integral12–16
- 6.3The Fundamental Theorem, Part 1: Accumulation Functions12–16
- 6.4The Fundamental Theorem, Part 2: Evaluating Integrals11–15
- 6.5Antiderivatives10–14
- 6.6Substitution11–15
- 6.7Harder Antiderivatives and Choosing a Technique11–15