integral

• POS: Adjective, Noun
• HYPHEN: in=te=gral

CIDE DICTIONARY

integral, a. [Cf. F. intégral. See Integer.].

•  Lacking nothing of completeness; complete; perfect; uninjured; whole; entire.  [1913 Webster]

  "A local motion keepeth bodies integral."  [1913 Webster]
•  Essential to completeness; constituent, as a part; pertaining to, or serving to form, an integer; integrant.  [1913 Webster]

  "Ceasing to do evil, and doing good, are the two great integral parts that complete this duty."  [1913 Webster]
•  Of, pertaining to, or being, a whole number or undivided quantity; not fractional.  [1913 Webster]

Integral calculus. See under Calculus.

integral, n. 

•  A whole; an entire thing; a whole number; an individual.  [1913 Webster]
•  An expression which, being differentiated, will produce a given differential. See differential Differential, and Integration. Cf. Fluent.  [1913 Webster]

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.

OXFORD DICTIONARY

integral, adj. & n.
--adj. disp.
1 a of a whole or necessary to the completeness of a whole. b forming a whole (integral design). c whole, complete.
2 Math. a of or denoted by an integer. b involving only integers, esp. as coefficients of a function.
--n. Math.
1 a quantity of which a given function is the derivative, either containing an indeterminate additive constant (indefinite integral), or calculated as the difference between its values at specified limits (definite integral).
2 a function satisfying a given differential equation.

Idiom

integral calculus mathematics concerned with finding integrals, their properties and application, etc. (cf. differential calculus).

Derivative

integrality n. integrally adv.

Etymology

LL integralis (as INTEGER)

THESAURUS

integral

a certain, aggregate, algorismic, algorithmic, aliquot, all, all-embracing, all-inclusive, an, any, any one, atomic, basic, cardinal, complete, component, composite, comprehensive, constituent, decimal, differential, digital, either, elemental, elementary, entire, entity, essential, even, exclusive, exhaustive, exponential, figural, figurate, figurative, finite, formative, fractional, full, fundamental, gross, holistic, imaginary, impair, impossible, inclusive, individual, indivisible, infinite, intact, integrant, integrate, integrated, intrinsic, irrational, irreducible, logarithmic, logometric, lone, monadic, monistic, negative, numeral, numerary, numerative, numeric, odd, omnibus, one, one and indivisible, ordinal, pair, perfect, positive, possible, prime, radical, rational, real, reciprocal, rolled into one, simple, single, singular, sole, solid, solitary, sound, submultiple, sum, surd, system, total, totality, transcendental, unanalyzable, undivided, unified, uniform, unique, unitary, united, universal, unqualified, utter, whole

ROGET THESAURUS

integral

Whole

N whole, totality, integrity, totalness, entirety, ensemble, collectiveness, unity, completeness, indivisibility, indiscerptibility, integration, embodiment, integer, all, the whole, total, aggregate, one and all, gross amount, sum, sum total, tout ensemble, length and breadth of, Alpha and Omega, be all and end all, complex, complexus, lock stock and barrel, bulk, mass, lump, tissue, staple, body, compages, trunk, torso, bole, hull, hulk, skeleton greater part, major part, best part, principal part, main part, essential part, lion's share, Benjamin's mess, the long and the short, nearly, all, almost all, whole, total, integral, entire, complete, one, individual, unbroken, intact, uncut, undivided, unsevered, unclipped, uncropped, unshorn, seamless, undiminished, undemolished, undissolved, undestroyed, unbruised, indivisible, indissoluble, indissolvable, indiscerptible, wholesale, sweeping, comprehensive, wholly, altogether, totally, entirely, all, all in all, as a whole, wholesale, in a body, collectively, all put together, in the aggregate, in the lump, in the mass, in the gross, in the main, in the long run, en masse, as a body, on the whole, bodily, en bloc, in extenso, throughout, every inch, substantially, tout bien ou rien.

Number

N number, symbol, numeral, figure, cipher, digit, integer, counter, round number, formula, function, series, sum, difference, complement, subtrahend, product, multiplicand, multiplier, multiplicator, coefficient, multiple, dividend, divisor, factor, quotient, submultiple, fraction, rational number, surd, irrational number, transcendental number, mixed number, complex number, complex conjugate, numerator, denominator, decimal, circulating decimal, repetend, common measure, aliquot part, prime number, prime, relative prime, prime factor, prime pair, reciprocal, totient, binary number, octal number, hexadecimal number, permutation, combination, variation, election, ratio, proportion, comparison, progression, arithmetical progression, geometrical progression, harmonical progression, percentage, permilage, figurate numbers, pyramidal numbers, polygonal numbers, power, root, exponent, index, logarithm, antilogarithm, modulus, base, differential, integral, fluxion, fluent, numeral, complementary, divisible, aliquot, reciprocal, prime, relatively prime, fractional, decimal, figurate, incommensurable, proportional, exponential, logarithmic, logometric, differential, fluxional, integral, totitive, positive, negative, rational, irrational, surd, radical, real, complex, imaginary, finite, infinite, impossible, numerically, modulo, number, symbol, numeral, figure, cipher, digit, integer, counter, round number, formula, function, series, sum, difference, complement, subtrahend, product, multiplicand, multiplier, multiplicator, coefficient, multiple, dividend, divisor, factor, quotient, submultiple, fraction, rational number, surd, irrational number, transcendental number, mixed number, complex number, complex conjugate, numerator, denominator, decimal, circulating decimal, repetend, common measure, aliquot part, prime number, prime, relative prime, prime factor, prime pair, reciprocal, totient, binary number, octal number, hexadecimal number, permutation, combination, variation, election, ratio, proportion, comparison, progression, arithmetical progression, geometrical progression, harmonical progression, percentage, permilage, figurate numbers, pyramidal numbers, polygonal numbers, power, root, exponent, index, logarithm, antilogarithm, modulus, base, differential, integral, fluxion, fluent, numeral, complementary, divisible, aliquot, reciprocal, prime, relatively prime, fractional, decimal, figurate, incommensurable, proportional, exponential, logarithmic, logometric, differential, fluxional, integral, totitive, positive, negative, rational, irrational, surd, radical, real, complex, imaginary, finite, infinite, impossible, numerically, modulo.