1. Lacking nothing of completeness; complete; perfect; uninjured;
whole; entire.
A local motion keepeth bodies integral.
Bacon.
2. Essential to completeness; constituent, as a part; pertaining to, or
serving to form, an integer; integrant.
Ceasing to do evil, and doing good, are the two great integral
parts that complete this duty.
South.
3. (Math.) (a) Of, pertaining to, or being, a whole number or undivided
quantity; not fractional. (b) Pertaining to, or proceeding by,
integration; as, the integral calculus.
Integral calculus. See under Calculus.
In"te*gral, n. 1. A whole; an entire thing; a whole number; an
individual.
2. (Math.) An expression which, being differentiated, will produce a
given differential. See differential Differential, and Integration. Cf.
Fluent.
Elliptic integral, 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 ellipse.
In`te*gral"i*ty (?), n. [Cf. F. intégralité.] Entireness. [Obs.]
Whitaker.
In"te*gral*ly (?), adv. In an integral manner; wholly; completely;
also, by integration.
In"te*grant (?), a. [L. integrans, -antis, p. pr. of integrare to make
whole, renew: cf. F. intégrant. See Integrate.] Making part of a whole;
necessary to constitute an entire thing; integral. Boyle.
All these are integrant parts of the republic.
Burke.
Integrant parts, or particles, of bodies, those smaller particles into
which a body may be reduced without loss of its original constitution,
as by mechanical division.
In"te*grate (?), v. t. [imp. & p. p. Integrated (?); p. pr. & vb. n.
Integrating (?).] [L. integratus, p. p. of integrare to make whole,
renew: cf. F. intégrer. See Integer, Entire.]
1. To form into one whole; to make entire; to complete; to renew; to
restore; to perfect. "That conquest rounded and integrated the glorious
empire." De Quincey.
Two distinct substances, the soul and body, go to compound and
integrate the man.
South.
2. To indicate the whole of; to give the sum or total of; as, an
integrating anemometer, one that indicates or registers the entire
action of the wind in a given time.
3. (Math.) To subject to the operation of integration; to find the
integral of.
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In`te*gra"tion (n`t*gr"shn), n. [L. integratio a renewing, restoring:
cf. F. intégration.]