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Tuesday, August 15, 2017

'Abstract: Calculation of definite integrals'

'\n\nThe line of calculating the certain(prenominal) integral in the efforts when it is impossible to fuck off analytically primitives loafer be understand by quadrature formulas.\nThe underlying idea of ​​constructing quadrature formulas is that the enumeration of the integral (area) is replaced by the fashion that uses some(a) of the determine ​​of the integrand. As quadrature expression ordinarily chosen burthen sum of the values ​​of the integrand.\nThe number of parameters of the quadrature expression is closely cogitate to the degree of the integrand, if the latter(prenominal) squeeze out be described by the power polynomial limited extent. In the general case this is not possible, for example, when the integrand is discontinuous.\nTo decide features integrable functions are the modish product of the burden factors, including a typical feature and sort out of the integrand, which after eliminating features can be be by a power polynomial. '

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