Integration and Accumulation of Change

Definition

Integration involves finding antiderivatives and calculating areas under curves. It represents accumulation of change over an interval.

Related terms

Antiderivative/Fundamental Theorem of Calculus (FTC): An antiderivative is the reverse process of differentiation. The FTC states that integration and differentiation are inverse operations.

Area Under the Curve: It refers to the total area enclosed by a curve and the x-axis within a given interval.

Definite Integral:

This represents the exact value of the accumulated change or area under a curve between two specific points.