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Simpson's rule : ウィキペディア英語版
Simpson's rule

In numerical analysis, Simpson's rule is a method for numerical integration, the numerical approximation of definite integrals. Specifically, it is the following approximation:
: \int_^ f(x) \, dx \approx \tfrac\left(+ 4f\left(\tfrac\right)+f(b)\right ).
Simpson's rule also corresponds to the three-point Newton-Cotes quadrature rule.
The method is credited to the mathematician Thomas Simpson (1710–1761) of Leicestershire, England. Kepler used similar formulas over 100 years prior. For this reason the method is sometimes called Kepler's rule, or ''Keplersche Fassregel'' in German.
==Derivation==

Simpson's rule can be derived in various ways.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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