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1. Dictionary

   integral

   adjective

   • 1. necessary to make a whole complete; essential or fundamental: "games are an integral part of the school's curriculum" Similar essentialfundamentalbasicintrinsicinherentconstitutiveinnatestructuralvitalindispensablenecessaryrequisiteOpposite incidentalperipheral
   • ▪ included as part of a whole rather than supplied separately: "the unit comes complete with integral pump and heater" Similar built-ininbuiltintegratedincorporatedfittedcomponentconstituentrare:integrantOpposite add-on
   • ▪ having all the parts that are necessary to be complete: "the first integral recording of the ten Mahler symphonies" Similar unifiedintegratedcomprehensiveorganiccompositecombinedaggregateundividedoverallgrossentirecompletewholetotalfullintactOpposite fragmentedpartial
   • 2. of or denoted by an integer.
   • ▪ involving only integers, especially as coefficients of a function.

   noun

   • 1. 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.
   • ▪ a function satisfying a given differential equation.

   Word Origin mid 16th century: from late Latin integralis, from integer ‘whole’ (see integer). Compare with integrate and integrity.

   Derivatives

   • 1. integrality noun
   • 2. integrally adverb

   Scrabble Points: 9

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2. byjus.com › maths › integralIntegral - Meaning, Types, Formulas and Integral Derivations

   byjus.com › maths › integral

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   Learn what integral means in mathematics, how to classify it into definite and indefinite integrals, and how to use formulas and methods to calculate it. Find examples of integral of log x and tan x with detailed derivations.

3. en.wikipedia.org › wiki › IntegralIntegral - Wikipedia

   en.wikipedia.org › wiki › Integral

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   In mathematics, an integral is the continuous analog of a sum, which is used to calculate areas, volumes, and their generalizations. Integration, the process of computing an integral, is one of the two fundamental operations of calculus, [ a ] the other being differentiation. Integration was initially used to solve problems in mathematics and ...

4. dictionary.cambridge.org › dictionary › englishINTEGRAL | English meaning - Cambridge Dictionary

   dictionary.cambridge.org › dictionary › english

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   Learn the meaning of integral as an adjective, noun, and mathematical term. Find out how to use integral in sentences and compare it with related words and phrases.

5. Videos

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6. www.merriam-webster.com › dictionary › integralIntegral Definition & Meaning - Merriam-Webster

   www.merriam-webster.com › dictionary › integral

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   Learn the meaning of integral as an adjective and a noun in mathematics and other contexts. See synonyms, examples, word history, and related phrases of integral.

7. math.libretexts.org › Bookshelves › Calculus1.1: Definition of the Integral - Mathematics LibreTexts

   math.libretexts.org › Bookshelves › Calculus

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   May 28, 2023 · Learn how to compute the area under a curve using vertical strips and the definite integral notation. See examples, explanations and exercises on the integral of a function.

8. math.libretexts.org › Bookshelves › Calculus5.2: The Definite Integral - Mathematics LibreTexts

   math.libretexts.org › Bookshelves › Calculus

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   Aug 17, 2024 · Learn how to define the definite integral as the limit of a Riemann sum, and how to use it to calculate the area under a curve. Explore the terms integrand, limits of integration, variable of integration, and integrability.

9. www.britannica.com › science › integral-mathematicsIntegral | Definition, Symbol, & Facts | Britannica

   www.britannica.com › science › integral-mathematics

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   The definite integral (also called Riemann integral) of a function f (x) is denoted as (see integration [for symbol]) and is equal to the area of the region bounded by the curve (if the function is positive between x = a and x = b) y = f (x), the x -axis, and the lines x = a and x = b. An indefinite integral, sometimes called an antiderivative ...