Numerical Value of a Definite Integral

Definition

The numerical value of a definite integral represents the signed area between a function's graph and the x-axis over a specific interval. It can be interpreted as accumulation or net change.

Related terms

Antiderivative:

An antiderivative is an indefinite integral that "undoes" differentiation. It helps find functions whose derivatives match a given function.

Riemann Sum:

A method for approximating the area under a curve using rectangles. By increasing the number of rectangles, we can get closer to the exact value represented by the definite integral.

Fundamental Theorem of Calculus:

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