Mo logo [home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff] german flag

Mathematics-Online lexicon:

Fundamental Theorem of Calculus


A B C D E F G H I J K L M N O P Q R S T U V W X Y Z overview

If $ F$ is a primitive of a continuous function $ f$ $ \left(f=F^\prime\right)$ , then it is

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

which is commonly abbreviated as

$\displaystyle \int_a^b f = \left[ F \right]_a^b \,.
$

A definite integral can thus be calculated as the difference of the primitive's values at the interval's boundary points.
(Authors: Höllig/Hörner/Abele)

Examples:


[Annotations] [Links]

  automatically generated 4/ 8/2008