Mathematics-Online lexicon: Properties of Integrals

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	Mathematics-Online lexicon:
	Properties of Integrals

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

For the definite integral holds:

Linearity: $\quad \displaystyle\int rf=r\int f$ , $\displaystyle\int f+g = \int f + \int g$
Monotony: $\quad \displaystyle f\le g$ $\implies$ $\displaystyle\int f\le\int g$
Additivity: $\quad \displaystyle\int_a^b f + \int_b^c f = \int_a^c f$

automatically generated 4/ 7/2008