Accumulation Function

Definition

An accumulation function, also known as an antiderivative or indefinite integral, represents the reverse process of differentiation. It calculates the original function when its derivative is given.

Related terms

Definite Integral:

A definite integral calculates the accumulated area under a curve between two specified limits. It represents the total change or accumulation within a specific interval.

Fundamental Theorem of Calculus:

The fundamental theorem of calculus establishes a connection between differentiation and integration. It states that if F(x) is an antiderivative (accumulation function) of f(x), then ∫[a,b] f(x) dx = F(b) - F(a).

Initial Condition:

An initial condition refers to specifying a particular value for a variable at an initial point in time or space. In terms of accumulation functions, it helps determine the constant term added during integration to account for unknown values.