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The extension of Gaussian quadrature to two-dimensional integrals of the form of _____

The extension of Gaussian quadrature to two-dimensional integrals of the form of _____ Correct Answer I≈\(\sum_{i=1}^{n}\sum_{j=1}^{n}\)wiwjf(ξi,ηj)

In numerical analysis, a quadrature rule is an approximation of the definite integral of a function, usually stated as a weighted sum of function values at specified points within the domain of integration. An n-point Gaussian quadrature rule, is a quadrature rule constructed to yield an exact result for polynomials of degree 2n − 1 or less by a suitable choice of the points xi and weights wi for i=1,…, n. The domain of integration for such a rule is conventionally taken as .

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