When numerical integration is applied to a function of a single variable it is
algebraic equations
non algebric
) none of these
quadratic
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Answer:
In analysis, numerical integration comprises a broad family of algorithms for calculating the numerical value of a definite integral, and by extension, the term is also sometimes used to describe the numerical solution of differential equations. This article focuses on calculation of definite integrals.
Numerical integration is used to calculate a numerical approximation for the value {\displaystyle S}S, the area under the curve defined by {\displaystyle f(x)}f(x).
The term numerical quadrature (often abbreviated to quadrature) is more or less a synonym for numerical integration, especially as applied to one-dimensional integrals. Some authors refer to numerical integration over more than one dimension as cubature;[1] others take quadrature to include higher-dimensional integration.
The basic problem in numerical integration is to compute an approximate solution to a definite integral
{\displaystyle \int _{a}^{b}f(x)\,dx}{\displaystyle \int _{a}^{b}f(x)\,dx}
to a given degree of accuracy. If f (x) is a smooth function integrated over a small number of dimensions, and the domain of integration is bounded, there are many methods for approximating the integral to the desired precision.
Reasons for numerical integration
History
Methods for one-dimensional integrals
Multidimensional integrals
Connection with differential equations
See also
References
External links