# Integral

**Integral**

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. (Science: mathematics) Of, pertaining to, or being, a whole number or undivided quantity; not fractional. Pertaining to, or proceeding by, integration; as, the **integral** calculus. **Integral** calculus. See calculus.

Origin: cf. F. **Integral**. See Integer.

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

2. (Science: mathematics) 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.