AP Calculus ABChapter 32 of 46
The Fundamental Theorem, Part 1: Accumulation Functions
Not yet publishedplanned runtime 12–16 min
The area-so-far is itself a function. Differentiate it, and Unit 2 comes back — the bridge between the two halves of calculus.
What this chapter covers
- define and evaluate accumulation functions
- apply FTC part 1, including with the chain rule
- read extrema and concavity of an accumulation function from the graph of its integrand