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==
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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 $x$-axis. If the function lies below the $x$-axis, then the area is negative.

Basic integrals

Properties of integrals

$\int_{a}^b f = \int_a^c f + \int_c^b f$


Other uses

The word integral is the adjectival form of the noun "integer." Thus, $3$ is integral while $\pi$ 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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