Part 5940

<blockquote>A local motion keepeth bodies <b>integral</b>. <i>Bacon.</i></blockquote>

<p><b>2.</b> <def>Essential to completeness; constituent, as a part; pertaining to, or serving to form, an integer; integrant.</as></def>

<blockquote>Ceasing to do evil, and doing good, are the two great <b>integral</b> parts that complete this duty. <i>South.</i></blockquote>

<p><b>3.</b> <fld>(Math.)</fld> <sd>(a)</sd> <def>Of, pertaining to, or being, a whole number or undivided quantity; not fractional.</def> <sd>(b)</sd> <def>Pertaining to, or proceeding by, integration; <as>as, the <ex>integral</ex> calculus</as>.</def>

<cs><col>Integral calculus</col>. <cd>See under <er>Calculus</er>.</cd></cs>

<h1>Integral</h1> <Xpage=773>

<hw>In"te*gral</hw>, <tt>n.</tt> <p><b>1.</b> <def>A whole; an entire thing; a whole number; an individual.</def>

<p><b>2.</b> <fld>(Math.)</fld> <def>An expression which, being differentiated, will produce a given differential. See differential <er>Differential</er>, and <er>Integration</er>. Cf. <er>Fluent</er>.</def>

<cs><col>Elliptic integral</col>, <cd>one of an important class of integrals, occurring in the higher mathematics; -- so called because one of the integrals expresses the length of an arc of an <i>ellipse<i>.</cd></cs>

<h1>Integrality</h1> <Xpage=773>

<hw>In`te*gral"i*ty</hw> <tt>(?)</tt>, <tt>n.</tt> <ety>[Cf. F. <ets>int\'82gralit\'82</ets>.]</ety> <def>Entireness.</def> <mark>[Obs.]</mark>

<i>Whitaker.</i>

<h1>Integrally</h1> <Xpage=773>

<hw>In"te*gral*ly</hw> <tt>(?)</tt>, <tt>adv.</tt> <def>In an integral manner; wholly; completely; also, by integration.</def>

<h1>Integrant</h1> <Xpage=773>

<hw>In"te*grant</hw> <tt>(?)</tt>, <tt>a.</tt> <ety>[L. <ets>integrans</ets>, <ets>-antis</ets>, p. pr. of <ets>integrare</ets> to make whole, renew: cf. F. <ets>int\'82grant</ets>. See <er>Integrate</er>.]</ety> <def>Making part of a whole; necessary to constitute an entire thing; integral.</def>

<i>Boyle.</i>

<blockquote>All these are <b>integrant</b> parts of the republic. <i>Burke.</i></blockquote>

<cs><mcol><col>Integrant parts</col>, &or; <col>particles</col></mcol>, <cd>of bodies, those smaller particles into which a body may be reduced without loss of its original constitution, as by mechanical division.</cd></cs>

<h1>Integrate</h1> <Xpage=773>

<hw>In"te*grate</hw> <tt>(?)</tt>, <tt>v. t.</tt> <wordforms>[<tt>imp. & p. p.</tt> <er>Integrated</er> <tt>(?)</tt>; <tt>p. pr. & vb. n.</tt> <er>Integrating</er> <tt>(?)</tt>.]</wordforms> <ety>[L. <ets>integratus</ets>, p. p. of <ets>integrare</ets> to make whole, renew: cf. F. <ets>int\'82grer</ets>. See <er>Integer</er>, <er>Entire</er>.]</ety>

<p><b>1.</b> <def>To form into one whole; to make entire; to complete; to renew; to restore; to perfect.</def> "That conquest rounded and <i>integrated</i> the glorious empire."

<i>De Quincey.</i>

<blockquote>Two distinct substances, the soul and body, go to compound and <b>integrate</b> the man. <i>South.</i></blockquote>

<p><b>2.</b> <def>To indicate the whole of; to give the sum or total of; <as>as, an <ex>integrating</ex> anemometer, one that indicates or registers the entire action of the wind in a given time</as>.</def>

<p><b>3.</b> <fld>(Math.)</fld> <def>To subject to the operation of integration; to find the integral of.</def>

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<h1>Integration</h1> <Xpage=774>