What is integral?

  • (noun): The result of a mathematical integration; F(x) is the integral of f(x) if dF/dx = f(x).
    See also — Additional definitions below


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 of the real line, the definite integral

Read more about Integral.

Some articles on integral:

Some Important Definite Integrals
... Mathematicians have used definite integrals as a tool to define identities ... Among these identities is the definition of the Euler–Mascheroni constant the Gamma function and the Laplace transform which is widely used in engineering ...
Correlation Integral
... In chaos theory, the correlation integral is the mean probability that the states at two different times are close where is the number of considered states, is a threshold distance, a norm (e.g ... The correlation integral is used to estimate the correlation dimension ... An estimator of the correlation integral is the correlation sum ...
Leibniz Integral Rule
... result is particularly useful in the differentiation of integral transforms ... Whether Leibniz's Integral Rule applies is essentially a question about the interchange of limits ...
Evolutionary Enlightenment - Integral Theory
... Enlightenment shares important principles of, and is often associated with, Integral Theory, in that both combine spiritual and scientific insights to create a comprehensive understanding of humanity and the universe ... Evolutionary Enlightenment and Integral Theory share an understanding that ultimate reality consists of a non-dual union of emptiness and form—with form being ... One outcome of this insight, which Integral thinkers have codified and mapped, is that there are hierarchical stages of development along a deep-time ...
Antiderivative (complex Analysis) - Existence - Necessity
... we show that if is an antiderivative of on, then it has the path integral property given above ... piecewise C1 path, one can express the path integral of over as By the chain rule and the fundamental theorem of calculus one then has Therefore the integral of over does not depend on the actual ...

More definitions of "integral":

  • (adj): Constituting the undiminished entirety; lacking nothing essential especially not damaged.
    Example: "A local motion keepeth bodies integral"- Bacon
    Synonyms: entire, intact

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