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Integral vs Instrumental - What's the difference?

integral | instrumental |

As an initialism integral

is (space|esa) (a satellite of the european space agency).

As a noun instrumental is

instrumental (grammatical case).

integral

English

Adjective

(en adjective)
  • Constituting a whole together with other parts or factors; not omittable or removable
  • * South
  • Ceasing to do evil, and doing good, are the two great integral parts that complete this duty.
  • (mathematics) Of, pertaining to, or being an integer.
  • (mathematics) Relating to integration.
  • (obsolete) whole; undamaged
  • * Francis Bacon
  • A local motion keepeth bodies integral .

    Synonyms

    * (constituting a whole) immanent, inherent, necessary

    Derived terms

    * integral brick * integral closure * integral cosmology * integral cuboid * integral current * integral curvature * integral curve * integral domain * integral drawing * integral ecology * integral element * integral energy * integral extension * integral fast reactor * integral field unit * integral function * integral geometry * integral graph * integral homology group * integral kernel * integral membrane protein * integral politics * integral polygedron * integral polynomial * integral post-metaphysics * integral psychology * integral transformative practice * integral yoga * integrity

    Noun

    (wikipedia integral) (en noun)
  • (mathematics) A number, the limit of the sums computed in a process in which the domain of a function is divided into small subsets and a possibly nominal value of the function on each subset is multiplied by the measure of that subset, all these products then being summed.
  • The integral of x\mapsto x^2 on [0,1] is \frac{1}{3}.
  • (mathematics)
  • The integral of x^2 is \frac{x^3}{3} plus a constant.

    Synonyms

    * (limit of sums) definite integral * (antiderivative) antiderivative, indefinite integral,

    Antonyms

    * (antiderivative) derivative

    Derived terms

    * definite integral * half-integral * improper integral * indefinite integral * integral calculus * integral equation * integral theory * integral transform * integration * Riemann integral * Riemann-Stieltjes integral * Lebesgue integral

    Anagrams

    * * * * English heteronyms ----

    instrumental

    Adjective

    (en adjective)
  • Acting as an instrument; serving as a means; contributing to promote; conductive; helpful; serviceable; essential or central.
  • He was instrumental in conducting the business.
  • * (rfdate), (William Shakespeare), (Hamlet), I,ii
  • The head is not more native to the heart, The hand more instrumental to the mouth —
  • (music) Pertaining to, made by, or prepared for, an instrument, especially a musical instrument.
  • instrumental music
  • * (rfdate) (Thomas Babington Macaulay)
  • He defended the use of instrumental music in public worship.
  • * (rfdate) (John Dryden)
  • * Sweet voices mix'd with instrumental sounds.
  • (grammar) Applied to a case expressing means or agency, generally indicated in English by by'' or ''with with the objective.
  • the instrumental case

    Coordinate terms

    * (serving as a means) final * (music) vocal, a capella

    Antonyms

    * noninstrumental

    Derived terms

    * instrumental error * instrumentation * instrumentality * instrumentive

    Noun

  • (uncountable, grammar) The instrumental case.
  • (countable, music) A composition without lyrics.
  • * 1977 , Stereo Review (volume 38, page 70)
  • I recommend this album in the face of the fact that five of the eleven songs are the purest filler, dull instrumentals with a harmonica rifling over an indifferent rhythm section. The rest is magnificent