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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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.

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 …

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 …

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.

Quadrature is the process of approximating the area under a curve using numerical integration techniques. It involves dividing the region into smaller segments and applying mathematical formulas …

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.

Compute definite integrals using numerical integration quadrature. Compare trapezoidal, Simpson, and Gauss-Legendre rules against adaptive integrate in R.

There are some circumstances in numerical computations where it is easier to use a quadrature rule to evaluate the integral of a polynomial, rather than computing the integral directly from the polynomial …