Integral - definição. O que é Integral. Significado, conceito
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O que (quem) é Integral - definição

OPERATION IN CALCULUS
Integral calculus; Sum rule in integration; Constant factor rule in integration; Linearity of integration; Integral (calculus); Integrals; Integrable function; Definite integral; Integrand; Area under the curve; Integration (calculus); Integral math; Area under a curve; Area under a graph; Definite Integrals; Integration (mathematics); Intergral; Area under de curve; Area under curve; Methods of integration; Forms of integration; Mathematical integration; Integral (math); Integral (mathematics); Integration techniques; Integration with other techniques; Integral Calculus; Area under the frequency distribution curve; Integral solution; Time integral; Integration history; Integeral; Drug AUC; Signed area; ∫f(x)dx; ∫ f dx; Integration over time; Integral over time; Integration algorithms
  • ''x''}}}} from 0 to 1, with 5 yellow right endpoint partitions and 12 green left endpoint partitions
  • alt=Definite integral example
  • A line integral sums together elements along a curve.
  • Riemann–Darboux's integration (top) and Lebesgue integration (bottom)

integral         
I. a.
Whole, entire, total.
II. n.
(Math.) Fluent.
integral         
¦ adjective '?nt?gr(?)l, ?n't?gr(?)l
1. necessary to make a whole complete; fundamental.
included as part of a whole.
having all the parts necessary to be complete.
2. Mathematics of or denoted by an integer or integers.
¦ noun '?nt?gr(?)l Mathematics a function of which a given function is the derivative, and which may express the area under the curve of a graph of the function.
Derivatives
integrality noun
integrally adverb
Origin
C16: from late L. integralis, from integer (see integer).
Usage
There are two possible pronunciations for integral as an adjective : one with the stress on the in- and the other with the stress on the -teg-. In British English, the second pronunciation is sometimes frowned on, but both are broadly accepted as standard.
integral         
Something that is an integral part of something is an essential part of that thing.
Rituals and festivals form an integral part of every human society...
= basic, fundamental
ADJ: oft ADJ to n

Wikipédia

Integral

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, the other being differentiation. Integration started as a method to solve problems in mathematics and physics, such as finding the area under a curve, or determining displacement from velocity. Today integration is used in a wide variety of scientific fields.

The integrals enumerated here are those termed definite integrals, which can be interpreted as the signed area of the region in the plane that is bounded by the graph of a given function between two points in the real line. Conventionally, areas above the horizontal axis of the plane are positive while areas below are negative. Integrals also refer to the concept of an antiderivative, a function whose derivative is the given function; in this case, they are also called indefinite integrals. The fundamental theorem of calculus relates definite integrals with differentiation and provides a method to compute the definite integral of a function when its antiderivative is known.

Although methods of calculating areas and volumes dated from ancient Greek mathematics, the principles of integration were formulated independently by Isaac Newton and Gottfried Wilhelm Leibniz in the late 17th century, who thought of the area under a curve as an infinite sum of rectangles of infinitesimal width. Bernhard Riemann later gave a rigorous definition of integrals, which is based on a limiting procedure that approximates the area of a curvilinear region by breaking the region into infinitesimally thin vertical slabs. In the early 20th century, Henri Lebesgue generalized Riemann's formulation by introducing what is now referred to as the Lebesgue integral; it is more robust than Riemann's in the sense that a wider class of functions are Lebesgue-integrable.

Integrals may be generalized depending on the type of the function as well as the domain over which the integration is performed. For example, a line integral is defined for functions of two or more variables, and the interval of integration is replaced by a curve connecting the two endpoints of the interval. In a surface integral, the curve is replaced by a piece of a surface in three-dimensional space.

Exemplos do corpo de texto para Integral
1. They have sweeping driveways and integral garages.
2. ESA‘s gamma–ray astronomy mission âЂ¢ (http÷//www.esa.int/SPECIALS/Integral/index.html) More about ... âЂ¢ Integral factsheet (http÷//www.esa.int/SPECIALS/Integral/SEMD'G1A6BD_0.html) Related articles âЂ¢ Observations÷ Seeing in the gamma–ray wavelengths (http÷//www.esa.int/SPECIALS/Integral/SEM3A2T1V ED_0.html) âЂ¢ Observations÷ Seeing in X–ray wavelengths (http÷//www.esa.int/esaSC/SEMTA2T1VED_index_0.html) âЂ¢ Observations÷ Seeing in microwave wavelengths (http÷//www.esa.int/esaSC/SEM4B2T1VED_index_0.html) âЂ¢ Black holes (http÷//www.esa.int/esaSC/SEMDJ71P4HD_index_0.html) âЂ¢ A gamma–ray burst bonanza ( http÷//www.esa.int/SPECIALS/Integral/SEMIVX8YFDD_0.html) âЂ¢ Integral‘s first look at the gamma–ray Universe (http÷//www.esa.int/esaCP/ESADW18708D_index_0.htm l) âЂ¢ Integral âЂ« tracking extreme radiation across the Universe (http÷//www.esa.int/SPECIALS/Integral /ESAI0BTHN6D_0.html)
3. India is still calling Kashmir as its integral part.
4. Janissaries played an integral part during the Ottoman expansion.
5. Size played an integral role in the New York School.