integralˈɪn tɪ grəl, ɪnˈtɛg rəl
integral (n)
- plural
- integrals
integral
English Definitions:
integral (adj)
the result of a mathematical integration; F(x) is the integral of f(x) if dF/dx = f(x)
built-in, constitutional, inbuilt, inherent, integral (adj)
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, entire, intact (adj)
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"
integral (adj)
of or denoted by an integer
integral (Noun)
A number, the limit of the sums computed in a process in which the domain of a function is divided into small subsets and a possibly nominal value of the function on each subset is multiplied by the measure of that subset, all these products then being summed.
integral (Noun)
Antiderivative
integral (Adjective)
Constituting a whole together with other parts or factors; not omittable or removable
integral (Adjective)
Of, pertaining to, or being an integer.
Integral
Integration is an important concept in mathematics and, together with its inverse, differentiation, is one of the two main operations in calculus. Given a function f of a real variable x and an interval [a, b] of the real line, the definite integral is defined informally to be the signed area of the region in the xy-plane bounded by the graph of f, the x-axis, and the vertical lines x = a and x = b, such that area above the x-axis adds to the total, and that below the x-axis subtracts from the total. The term integral may also refer to the notion of the antiderivative, a function F whose derivative is the given function f. In this case, it is called an indefinite integral and is written: The integrals discussed in this article are termed definite integrals. The principles of integration were formulated independently by Isaac Newton and Gottfried Leibniz in the late 17th century. Through the fundamental theorem of calculus, which they independently developed, integration is connected with differentiation: if f is a continuous real-valued function defined on a closed interval [a, b], then, once an antiderivative F of f is known, the definite integral of f over that interval is given by
INTEGRAL
The INTErnational Gamma-Ray Astrophysics Laboratory (INTEGRAL) is a space telescope for observing gamma rays of energies up to 8 MeV. It was launched by the European Space Agency (ESA) into Earth orbit in 2002, and is designed to provide imaging and spectroscopy of cosmic sources. In the MeV energy range, it is the most sensitive gamma ray observatory in space. It is sensitive to higher energy photons than X-ray instruments such as NuSTAR, the Neil Gehrels SWIFT Observatory, XMM-Newton, and lower than other gamma-ray instruments such Fermi and HESS. Photons in INTEGRAL's energy range are emitted by relativistic and supra-thermal particles in violent sources, radioactivity from unstable isotopes produced during nucleosynthesis, X-ray binaries, and astronomical transients of all types, including gamma-ray bursts. The spacecraft's instruments have very wide fields of view, which is particularly useful for detecting gamma-ray emission from transient sources as they can continuously monitor large parts of the sky. INTEGRAL is an ESA mission with additional contributions from European member states including Italy, France, Germany, and Spain. Cooperation partners are the Russian Space Agency with IKI (military CP Comand Punkt KW) and NASA. As of October 2022, INTEGRAL continues to operate despite the loss of its thrusters through the use of its reaction wheels and solar radiation pressure.
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"integral." Kamus.net. STANDS4 LLC, 2024. Web. 25 Apr. 2024. <https://www.kamus.net/english/integral>.
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