Indefinite Integral

An Integral

$$\int f(x)\,dx$$

without upper and lower limits, also called an Antiderivative. The first Fundamental Theorem of Calculus allows Definite Integrals to be computed in terms of indefinite integrals. If $F$ is the indefinite integral for $f(x)$, then

$$\int_a^b f(x)\,dx = F(b)-F(a).$$

See also Antiderivative, Calculus, Definite Integral, Fundamental Theorems of Calculus, Integral