中文摘要：

从一个插值公式的构造出发，得到相应的积分中值定理，构造了具有5次代数精度的数值积分公式，通过对积分中值定理中间点的渐近性质的分析，得到具有7次代数精度的数值积分公式，应用复化求积，进一步改进了这个公式，使它具有高精度且不用计算导数．

英文摘要：

Base on a interpolation formula, the mean value theorem for integral is given, and the first numerical integration formula which has 5-order algebra accuracy is presented. Asymptotic property for the location of medium point to contain within remainder term is determined, the second correct formula with respect to the formula is given. It has 7-order algebra accuracys. Using the compond for- mula, the third correct formula is also presented, It has high accuracy and without derivative.