Cotes Integration Formulas

formulas used for approximating definite integrals using the values of the integrand at a finite number of equally spaced points, that is, quadrature formulas with equally spaced nodes. The Cotes integration formulas have the form

The numbers a_k⁽ⁿ⁾ are called the Cotes coefficients and are determined under the condition that the formula (*) is exact whenever f( x) is a polynomial of degree not greater than n. The Cotes integration formulas were introduced by the British mathematician R. Cotes (1682–1716).

单词	cotes integration formulas
释义	Cotes Integration Formulas Cotes Integration Formulas formulas used for approximating definite integrals using the values of the integrand at a finite number of equally spaced points, that is, quadrature formulas with equally spaced nodes. The Cotes integration formulas have the form The numbers a_k⁽ⁿ⁾ are called the Cotes coefficients and are determined under the condition that the formula (*) is exact whenever f( x) is a polynomial of degree not greater than n. The Cotes integration formulas were introduced by the British mathematician R. Cotes (1682–1716).
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