In mathematics, quadrature is a historic term for the computation of areas and is thus used for computation of integrals. The word is derived from the Latin quadratus meaning "square".

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Quadrature is the process of computing or approximating the value of a definite integral, especially by numerical methods. Historically, it referred to finding a square with the same area as a given curved …

quadrature, in mathematics, the process of determining the area of a plane geometric figure by dividing it into a collection of shapes of known area (usually rectangles) and then finding the limit (as the …

Mar 25, 2026 · The word quadrature is also used to mean squaring: the construction of a square using only compass and straightedge which has the same area as a given geometric figure.

In line with its historical meaning, \quadrature" might conjure up the vision of plotting the function on graph paper and counting the little boxes (and their fractions!) that lie underneath the curve.

That is, the DOP of a quadrature is the largest integer k such that the quadrature can integrate all polynomials of degree at most k exactly: for these p, the quadrature rule gives the exact value of the …

The approximation of an integral by a numerical method is commonly referred to as quadrature. In Calculus one discusses many techniques for determining an antiderivative of f(x). The integral is then …

The word “quadrature” reminds us of an elementary technique for finding this area—plot the function on graph paper and count the number of little squares that lie underneath the curve.

Theorem: Let w (x) be a weight function on [a, b], and suppose that all moments exist; i.e., b xi w (x) dx < ∞, = 1, 2, ... Then for all n there exists quadrature nodes xi ∈ [a, b] and quadrature weights ωi such …