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integral length

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  • 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}.… …   The Collaborative International Dictionary of English

  • Integral — This article is about the concept of integrals in calculus. For the set of numbers, see integer. For other uses, see Integral (disambiguation). A definite integral of a function can be represented as the signed area of the region bounded by its… …   Wikipedia

  • Integral unit — Unit U nit, n. [Abbrev. from unity.] 1. A single thing or person. [1913 Webster] 2. (Arith.) The least whole number; one. [1913 Webster] Units are the integral parts of any large number. I. Watts. [1913 Webster] 3. A gold coin of the reign of… …   The Collaborative International Dictionary of English

  • integral — integrality, n. integrally, adv. /in ti greuhl, in teg reuhl/, adj. 1. of, pertaining to, or belonging as a part of the whole; constituent or component: integral parts. 2. necessary to the completeness of the whole: This point is integral to his… …   Universalium

  • Integral (song) — Infobox Single Name = Integral Artist = Pet Shop Boys from Album = Disco 4 Released = October 8, 2007 Format = Digital download Recorded = 2007 Genre = Synthpop Length = 6:38 Label = Parlophone Writer = Pet Shop Boys Producer = Pet Shop Boys Last …   Wikipedia

  • Integral of secant cubed — One of the more challenging indefinite integrals of elementary calculus is:int sec^3 x , dx = frac{1}{2}sec x an x + frac{1}{2}ln|sec x + an x| + C.There are a number of reasons why this particular antiderivative is worthy of special attention:*… …   Wikipedia

  • Integral geometry — In mathematics, the term integral geometry is used in two ways, which, although related, imply different views of the content of the subject. Cases The more traditional usage is that of Santalo and Blaschke. It follows from the classic theorem of …   Wikipedia

  • length of a curve — Geometrical concept addressed by integral calculus. Methods for calculating exact lengths of line segments and arcs of circles have been known since ancient times. Analytic geometry allowed them to be stated as formulas involving coordinates (see …   Universalium

  • Elliptic integral — 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.… …   The Collaborative International Dictionary of English

  • Arc length — Determining the length of an irregular arc segment is also called rectification of a curve. Historically, many methods were used for specific curves. The advent of infinitesimal calculus led to a general formula that provides closed form… …   Wikipedia

  • Line integral — Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables Implicit differentiation Taylor s theorem Related rates …   Wikipedia

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