关于Newton-Cote's数值积分公式的修正

A Note on Newton-Cote's Numerical Integral Formula

对Newton-Cote's数值积分公式进行了研究,证明了当n=9时的Newton-Cote's数值积分公式是可行,积分误差是可以控制.最后通过数值例子验证了Newton-Cote's积分当8≤n≤200时,除n=9以外理论上是不可行.

This article make some study of Newton-Cote＇s integral in numerical integral, in particularly prove that it is feasible when n = 9 and integral error can control. Finally, we find the result of enumerate is not feasible when 8 ≤ n ≤ 200 except n =9 by numerical example.