(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.
(In`te*gra"tion) n. [L. integratio a renewing, restoring: cf. F. intégration.]
1. The act or process of making whole or entire.
2. (Math.) The operation of finding the primitive function which has a given function for its differential
coefficient. See Integral.
The symbol of integration is &integral2l (standing for the Latin summa sum), and the integral is also
regarded as the limiting value of the sum of great numbers of differentials, when the magnitude of the
differentials decreases, and their number increases indefinitely. See Limit, n. When the summation
is made between specified values of the variable, the result is a definite integral, and those values of
the variable are the limits of the integral. When the summation is made successively for two or more
variables, the result is a multiple integral.
3. In the theory of evolution: The process by which the manifold is compacted into the relatively simple
and permanent. It is supposed to alternate with differentiation as an agent in development.
(In"te*gra`tor) n. (Math. & Mech.) That which integrates; esp., an instrument by means of
which the area of a figure can be measured directly, or its moment of inertia, or statical moment, etc., be
(In*teg"ri*ty) n. [L. integritas: cf. F. intégrité. See Integer, and cf. Entirety.]
1. The state or quality of being entire or complete; wholeness; entireness; unbroken state; as, the integrity
of an empire or territory. Sir T. More.