Integrally-defined Function in AP Calculus AB/BC

Definition

An integrally-defined function is a function whose values are obtained by integrating another function over an interval. It represents an accumulation process where we add up infinitesimally small pieces (represented by dx) of another function.

Related terms

Accumulation: The process of gradually adding up quantities or values over time or space.

Definite Integral:

Represents the signed area between a curve and x-axis over an interval, providing information about total accumulation or net change.

Antiderivative:

A related concept to integral where we find functions whose derivatives yield a given original function.