Category:Integral

In"te*gral, a. Etym: [Cf. F. intégral. See Integer.]

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.

integral In"te*gral, n.

1. A whole; an entire thing; a whole number; an individual.

2. (Math.)

Defn: 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.