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Indefinite Integral

An Integral

\begin{displaymath}
\int f(x)\,dx
\end{displaymath}

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

\begin{displaymath}
\int_a^b f(x)\,dx = F(b)-F(a).
\end{displaymath}

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




© 1996-9 Eric W. Weisstein
1999-05-26