给出并证明了关于积分第二中值定理“中间点”的渐近性定理。

In this article, the author has proved the theorem of "middle point" in the second integral mean value.

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本文首先证明了R—S积分中值公式，并利用辅助函数进一步讨论了其“中间点”的渐近性。

This paper firstly proves R-S mean value formula for integral, and USES the supplementary function for further discussing the asymptotic property of the "intermediate point".

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基于中间点的渐近性质，获得了数值积分的校正公式及其条件误差估计。

Then Based on the asymptotic properties of the intermediate point, corrective formulas of numerical integral and its conditional errors are obtained.

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