Written by the Fiveable Content Team • Last updated September 2025
Verified for the 2026 exam
Verified for the 2026 exam•Written by the Fiveable Content Team • Last updated September 2025
Definition
Accumulation functions are used to find accumulated quantities or totals over intervals. They involve integrating other functions and can represent concepts such as total distance traveled or total area under a curve.
The definite integral is used to find the exact accumulation of a function over a specific interval.
Rate of Accumulation: The rate of accumulation represents how quickly a quantity is being accumulated at any given moment.
Area Under the Curve: The area under a curve can be found using accumulation functions and represents the total amount or value associated with that curve.