SUN Tianming   ZHOU Yongzheng

(The Basic Course Department)

Abstract:  In this paper, a changing tendency of &  in mcan valuc theorem of integration has becn obtained when the two terminal points of interval tend to a fixcd point.The relevant asymptotic results of & in mean valuc theorcm of integration has been extended when theicrminal point b >a.

Keywords: the first mean value theorem of integration, the sccond man value theorem of integration, function of primary, Taylor's formula