Second Fundamental Theorem of Calculus

Definition

The second fundamental theorem of calculus states that if a function f(x) is continuous on the interval [a, b] and F(x) is an antiderivative of f(x), then the definite integral of f(x) from a to b can be found by evaluating F(b) - F(a).

Related terms

Antiderivative:

An antiderivative, also known as an indefinite integral, is a function whose derivative gives back the original function. It represents all possible functions that have the given derivative.

Definite Integral:

A definite integral represents the signed area between a curve and the x-axis over a specified interval. It provides a numerical value rather than representing all possible antiderivatives.

Continuous Function:

A continuous function is one where there are no breaks or holes in its graph. It can be drawn without lifting your pen from paper.