Integral vs. Important — What's the Difference?
Difference Between Integral and Important
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Integral
In mathematics, an integral assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that arise by combining infinitesimal data. The process of finding integrals is called integration.
Important
Strongly affecting the course of events or the nature of things; significant
An important message that must get through.
Close friends who are important to me.
Integral
Necessary to make a whole complete; essential or fundamental
Games are an integral part of the school's curriculum
Systematic training should be integral to library management
Important
Having high social rank or influence; prominent
Government leaders and other important people.
Integral
Of or denoted by an integer.
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Important
Having or suggesting a consciousness of high position or authority; authoritative
Recited the decree with an important air.
Integral
A function of which a given function is the derivative, i.e. which yields that function when differentiated, and which may express the area under the curve of a graph of the function.
Important
(Obsolete) Importunate.
Integral
Essential or necessary for completeness; constituent
The kitchen is an integral part of a house.
Important
Having relevant and crucial value.
It is very important to give your daughter independence in her life so she learns from experience.
Integral
Possessing everything essential; entire.
Important
(obsolete) Pompous; self-important.
Integral
Expressed or expressible as or in terms of integers.
Important
Full of, or burdened by, import; charged with great interests; restless; anxious.
Thou hast strength as muchAs serves to execute a mind very important.
Integral
Expressed as or involving integrals.
Important
Carrying or possessing weight or consequence; of valuable content or bearing; significant; weighty.
Things small as nothing . . . He makes important.
Integral
A complete unit; a whole.
Important
Bearing on; forcible; driving.
He fiercely at him flew,And with important outrage him assailed.
Integral
A number computed by a limiting process in which the domain of a function, often an interval or planar region, is divided into arbitrarily small units, the value of the function at a point in each unit is multiplied by the linear or areal measurement of that unit, and all such products are summed.
Important
Importunate; pressing; urgent.
Integral
A definite integral.
Important
Of great significance or value;
Important people
The important questions of the day
Integral
An indefinite integral.
Important
Important in effect or meaning;
A significant change in tax laws
A significant change in the Constitution
A significant contribution
Significant details
Statistically significant
Integral
Constituting a whole together with other parts or factors; not omittable or removable
Important
Of extreme importance; vital to the resolution of a crisis;
A crucial moment in his career
A crucial election
A crucial issue for women
Integral
(mathematics) Of, pertaining to, or being an integer.
Important
Having authority or ascendancy or influence;
An important official
The captain's authoritative manner
Integral
(mathematics) Relating to integration.
Important
Having or suggesting a consciousness of high position;
Recited the decree with an important air
Took long important strides in the direction of his office
Integral
(obsolete) Whole; undamaged.
Integral
(mathematics) One of the two fundamental operations of calculus (the other being differentiation), whereby a function's displacement, area, volume, or other qualities arising from the study of infinitesimal change are quantified, usually defined as a limiting process on a sequence of partial sums. Denoted using a long s: ∫, or a variant thereof.
The integral of a univariate real-valued function is the area under its curve; but be warned! Not all functions are integrable!
Integral
(specifically) Any of several analytic formalizations of this operation: the Riemann integral, the Lebesgue integral, etc.
Integral
(mathematics) A definite integral: the result of the application of such an operation onto a function and a suitable subset of the function's domain: either a number or positive or negative infinity. In the former case, the integral is said to be finite or to converge; in the latter, the integral is said to diverge. In notation, the domain of integration is indicated either below the sign, or, if it is an interval, with its endpoints as sub- and super-scripts, and the function being integrated forming part of the integrand (or, generally, differential form) appearing in front of the integral sign.
The integral of on is , but the integral of the same function on diverges. In notation, , but .
Integral
(mathematics) An indefinite integral: the result of the application of such an operation onto a function together with an indefinite domain, yielding a function; a function's antiderivative;
The integral of is plus a constant.
Integral
The fluent of a given fluxion in Newtonian calculus.
Integral
Lacking nothing of completeness; complete; perfect; uninjured; whole; entire.
A local motion keepeth bodies integral.
Integral
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.
Integral
Of, pertaining to, or being, a whole number or undivided quantity; not fractional.
Integral
A whole; an entire thing; a whole number; an individual.
Integral
An expression which, being differentiated, will produce a given differential. See differential Differential, and Integration. Cf. Fluent.
Integral
The result of a mathematical integration; F(x) is the integral of f(x) if dF/dx = f(x)
Integral
Existing as an essential constituent or characteristic;
The Ptolemaic system with its built-in concept of periodicity
A constitutional inability to tell the truth
Integral
Constituting the undiminished entirety; lacking nothing essential especially not damaged;
A local motion keepeth bodies integral
Was able to keep the collection entire during his lifetime
Fought to keep the union intact
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