Area Under a Curve

Definition

The area under a curve represents the total quantity or accumulated value represented by that curve over a given interval.

Related terms

Indefinite Integral:

An indefinite integral represents finding an antiderivative (or primitive) function based on its derivative.

Partition: In calculus, partition refers to dividing an interval into smaller subintervals for better approximations when evaluating areas or sums.

Upper and Lower Sums: Upper and lower sums are used in Riemann integration as approximations for calculating areas under curves by dividing them into rectangles.