CoreFTC
Accumulation Functions
Overview
An accumulation function A(x) = ∫ₐˣ f(t) dt tracks the running total of f from a to x.
Key Concepts
1
A(x) is the area accumulated up to x
2
A′(x) = f(x) by FTC Part 1
3
The graph of A(x) can be sketched from f’s sign
See it in action
Use the interactive visualizer to explore this concept with real graphs.