Difference between revisions of "Integral"
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<math>\int_{a}^b f = \int_a^c f + \int_c^b f</math> | <math>\int_{a}^b f = \int_a^c f + \int_c^b f</math> | ||
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+ | ==Other uses== | ||
+ | The word ''integral'' is the adjectival form of the noun "[[integer]]." Thus, <math>3</math> is integral while <math>\pi</math> is not. | ||
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+ | The word ''integral'' is also used in English to describe the state of being integrated; e.g., "The engine is an integral part of the vehicle -- without it, nothing would work." | ||
==See also== | ==See also== |
Revision as of 12:45, 18 November 2006
The integral is a generalization of area. The integral of a function is defined as the area between it and the -axis. If the function lies below the -axis, then the area is negative.
Basic integrals
Properties of integrals
Other uses
The word integral is the adjectival form of the noun "integer." Thus, is integral while is not.
The word integral is also used in English to describe the state of being integrated; e.g., "The engine is an integral part of the vehicle -- without it, nothing would work."
See also
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