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The Collaborative International Dictionary
Integral calculus

Integral \In"te*gral\, a. [Cf. F. int['e]gral. 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.)

    1. Of, pertaining to, or being, a whole number or undivided quantity; not fractional.

    2. Pertaining to, or proceeding by, integration; as, the integral calculus.

      Integral calculus. See under Calculus.

Integral calculus

Calculus \Cal"cu*lus\, n.; pl. Calculi. [L, calculus. See Calculate, and Calcule.]

  1. (Med.) Any solid concretion, formed in any part of the body, but most frequent in the organs that act as reservoirs, and in the passages connected with them; as, biliary calculi; urinary calculi, etc.

  2. (Math.) A method of computation; any process of reasoning by the use of symbols; any branch of mathematics that may involve calculation.

    Barycentric calculus, a method of treating geometry by defining a point as the center of gravity of certain other points to which co["e]fficients or weights are ascribed.

    Calculus of functions, that branch of mathematics which treats of the forms of functions that shall satisfy given conditions.

    Calculus of operations, that branch of mathematical logic that treats of all operations that satisfy given conditions.

    Calculus of probabilities, the science that treats of the computation of the probabilities of events, or the application of numbers to chance.

    Calculus of variations, a branch of mathematics in which the laws of dependence which bind the variable quantities together are themselves subject to change.

    Differential calculus, a method of investigating mathematical questions by using the ratio of certain indefinitely small quantities called differentials. The problems are primarily of this form: to find how the change in some variable quantity alters at each instant the value of a quantity dependent upon it.

    Exponential calculus, that part of algebra which treats of exponents.

    Imaginary calculus, a method of investigating the relations of real or imaginary quantities by the use of the imaginary symbols and quantities of algebra.

    Integral calculus, a method which in the reverse of the differential, the primary object of which is to learn from the known ratio of the indefinitely small changes of two or more magnitudes, the relation of the magnitudes themselves, or, in other words, from having the differential of an algebraic expression to find the expression itself.

Wiktionary
integral calculus

n. (context calculus English) The calculus that generalizes summation to find areas, masses, volumes, sums, and totals of quantities described by continuously varying functions.

WordNet
integral calculus

n. the part of calculus that deals with integration and its application in the solution of differential equations and in determining areas or volumes etc.

Usage examples of "integral calculus".

In turn you must learn arithmetic, Euclidian geometry, high school algebra, differential and integral calculus, ordinary and partial differential equations, vector calculus, certain special functions of mathematical physics.

He had the integral calculus within his grasp, and if Arabic numeral notation had been available to him he would have beaten Newton and Leibniz by almost two millennia.

Bernoulli originally specified a deadline of six months, but extended it to a year and a half at the request of Leibniz, one of the leading scholars of the time, and the man who had, independently of Newton, invented the differential and integral calculus.

I plowed my way through differential and integral calculus, and Uriel’.

Theres some math with Integral Calculus that I dont quite understand.

Alle, who taught integral calculus and specialized in differential equations.

He and his brothers had been learning integral calculus a week ago.

Tynedale's theory of gravitation, Tynedale's laws of planetary motion, the Tynedale reflecting telescope, and the Tynedale methods of differential and integral calculus.

The day may come when civil engineers will need to know not mere differential and integral calculus, but hypergeometric surfaces, 4D projection, and other rarefied arts.

However, it was quite a walk from the Mitre to Somerset House: virtually all the Fellows were reasonably philosophic by the time they got there, and the hard benches, and the arid nature of the paper read to them, dealing with the history of the integral calculus and a new approach to certain aspects of it, sobered them entirely.