Chapter 32 of 46

The Fundamental Theorem, Part 1: Accumulation Functions

Name: The Fundamental Theorem, Part 1: Accumulation Functions
Description: The area-so-far is itself a function. Differentiate it, and Unit 2 comes back — the bridge between the two halves of calculus.

The area-so-far is itself a function. Differentiate it, and Unit 2 comes back — the bridge between the two halves of calculus.

Free12–16 min

By the end

Each chapter closes with capabilities, not topics. Watch for these.

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