View source for Integral

{{AWL}}

=== Pronunciation ===
; Noun
* {{UK}} {{enPR|ĭnʹtĭ-grəl}}, {{IPA|/ˈɪntɪɡrəl/}}
* {{US}} {{enPR|ĭnʹtə-grəl}}, {{IPA|/ˈɪntəɡrəl/}}
* {{audio|en-uk-integral-noun.ogg|UK}}
; Adjective
* {{UK}} {{US}} {{enPR|ĭn-tĕgʹrəl}}, {{IPA|/ɪnˈtɛɡrəl/}}
* {{audio|en-uk-integral-adjective.ogg|UK}}

== Adjective ==
{{adj|more=true}}
# '''Integral''' parts, elements, etc. belong to a larger whole, often being necessary. {{syn|basic|necessary|essential}} {{ant|separate|distinct|supplementary}}
#: ''The parks and green spaces are an '''integral''' part of the city.''
#: ''Regular training is regarded as '''integral''' to management.''
#: '''''Integral''' to this research was how the healthy body defends itself against bacteria.''

=== Related words ===
* [[integrate]]
* [[integrally]]

== Noun ==
{{noun}}
# {{countable}} An '''integral''' is the result of a particular mathematical [[function]]. {{ant|derivative}}
#: ''<math>F(x)</math> is the '''integral''' of <math>f(x)</math> if <math>\frac{d[F(x)]}{dx} = f(x)</math> .''