The word quadrature has (at least) three incompatible meanings. Integration by quadrature either means solving an integral analytically (i.e., symbolically in terms of known functions), or solving of an integral numerically (e.g., Gaussian quadrature, Newton-Cotes formulas). Ueberhuber uses the word "quadrature" to mean numerical computation of a univariate integral, and "cubature" to mean numerical computation of a multiple integral. 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. If quadrature is possible for a plane figure, it is said to be quadrable.

calculus | Chebyshev-Gauss quadrature | Chebyshev quadrature | cubature | derivative | fundamental theorem of Gaussian quadrature | Gaussian quadrature | Gauss-Jacobi mechanical quadrature | Hermite-Gauss quadrature | Jacobi-Gauss quadrature | Laguerre-Gauss quadrature | Legendre-Gauss quadrature | Lobatto quadrature | Newton-Cotes formulas | numerical integration | Radau quadrature | recursive monotone stable quadrature