Two related meanings (although at first sight they seem unrelated):
1. The opposite, or invers, of a derivative; also known as the antiderivative. For example, since the derivative of x2 is 2x, the integral (more precisely, AN integral) of 2x is x2.
2. The area under a curve. If an antiderivative for a curve can be found, it is fairly easy to calculate this area.
Integrals have numerous applications in math and science.
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It has several meanings, none of which have anything to do with computer programming. In mathematics, a Quadrature is a numerical integration.
These can be found in any standard calculus text. Here is a link that has many of the integration formulas: http://en.wikipedia.org/wiki/Lists_of_integrals
Pure Mathematics is the branch of mathematics that deals only with mathematics and how it works - it is the HOW of mathematics. It is abstracted from the real world and provides the "tool box" of mathematics; it includes things like calculus. Applied mathematics is the branch of mathematics which applies the techniques of Pure Mathematics to the real world - it is the WHERE of mathematics; it includes things like mechanics. Pure Mathematics teaches you HOW to integrate, Applied mathematics teaches you WHERE to use integration.
Because you require to add/substract/divide and in some cases even multiple. Higher mathematics for example differentiation and integration will generally not be useful/required.
The real part refers to real numbers. Analysis refers to the branch of mathematics explicitly concerned with the notion of a limit It also includes the theories of differentiation, integration and measure, infinite series and analytic functions.
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Analysis is the branch of mathematics dealing with limits and related theories, such as differentiation, integration, measure, infinite series and analysis functions.
V. I. Krylov has written: 'Interpolirovanie i integrirovanie' -- subject(s): Interpolation, Numerical integration 'Priblizhennoe vychislenie integralov' -- subject(s): Approximation theory, Integrals 'Tables for numerical integration of functions with logarithmic and power singularities' -- subject(s): Functions, Mathematics, Numerical integration, Tables
Washek F. Pfeffer has written: 'The Riemann approach to integration' -- subject(s): Riemann integral 'Derivation and integration' -- subject(s): Generalized Integrals 'Integrals and measures' -- subject(s): Generalized Integrals, Measure theory, Riemann integral 'Derivation and Integration (Cambridge Tracts in Mathematics)'
The study of integration and a part of calculus. Integration is a method for "adding" extremely small parts of something to find the whole. A common example is finding the area under an irregular curve. Sorry, but a more in depth answer would require an understanding of basic calculus.