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integral    音標拼音: ['ɪntəgrəl] ['ɪnəgrəl]
n. 積分,整數
a. 整體的,整數的,積分的
n. 積分

積分,整數整體的,整數的,積分的積分

integral
積分

integral
積分 整數 整體

integral
adj 1: existing as an essential constituent or characteristic;
"the Ptolemaic system with its built-in concept of
periodicity"; "a constitutional inability to tell the
truth" [synonym: {built-in}, {constitutional}, {inbuilt},
{inherent}, {integral}]
2: constituting the undiminished entirety; lacking nothing
essential especially not damaged; "a local motion keepeth
bodies integral"- Bacon; "was able to keep the collection
entire during his lifetime"; "fought to keep the union
intact" [synonym: {integral}, {entire}, {intact}]
3: of or denoted by an integer
n 1: the result of a mathematical integration; F(x) is the
integral of f(x) if dF/dx = f(x)

Fluent \Flu"ent\, n.
1. A current of water; a stream. [Obs.]
[1913 Webster]

2. [Cf. F. fluente.] (Math.) A variable quantity, considered
as increasing or diminishing; -- called, in the modern
calculus, the {function} or {integral}.
[1913 Webster]


Integral \In"te*gral\, a. [Cf. F. int['e]gral. See {Integer}.]
[1913 Webster]
1. Lacking nothing of completeness; complete; perfect;
uninjured; whole; entire.
[1913 Webster]

A local motion keepeth bodies integral. --Bacon.
[1913 Webster]

2. 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.
--South.
[1913 Webster]

3. (Math.)
(a) Of, pertaining to, or being, a whole number or
undivided quantity; not fractional.
(b) Pertaining to, or proceeding by, integration; as, the
integral calculus.
[1913 Webster]

{Integral calculus}. See under {Calculus}.
[1913 Webster]


Integral \In"te*gral\, n.
1. A whole; an entire thing; a whole number; an individual.
[1913 Webster]

2. (Math.) 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.
[1913 Webster]

106 Moby Thesaurus words for "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

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英文字典中文字典相關資料:
  • What is the integral of 1 x? - Mathematics Stack Exchange
    $\begingroup$ "Answers to the question of the integral of 1x are all based on an implicit assumption that the upper and lower limits of the integral are both positive real numbers" --- not completely correct: if they are both negative it also works This is an improper integral and does not converge in the remaining cases $\endgroup$ –
  • calculus - Is there really no way to integrate $e^{-x^2 . . .
    $\begingroup$ @user599310, I am going to attempt some pseudo math to show it: $$ I^2 = \int e^-x^2 dx \times \int e^-x^2 dx = Area \times Area = Area^2$$ We can replace one x, with a dummy variable, move the dummy copy into the first integral to get a double integral
  • Newest integration Questions - Mathematics Stack Exchange
    For questions about the properties of integrals Use in conjunction with (indefinite-integral), (definite-integral), (improper-integrals) or another tag(s) that describe the type of integral being considered This tag often goes along with the (calculus) tag
  • Lesser-known integration tricks - Mathematics Stack Exchange
    Countless times, I've seen students make sign errors in this type of integral that could have been avoided by organizing the computations according to these simple rules Apparently this is being taught as a trick in some schools, judging from this clip from the 1988 movie Stand and Deliver
  • How to calculate the integral in normal distribution?
    It goes without saying that if you're trying to find a CDF, you need to add limits and evaluate the definite integral In the second equation you'll notice that I used "a" as the (upper) limit variable And the question is talking about the CDF, so the lower limit is negative infinity $\endgroup$ –





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