Riemann可积的充要条件 f(x)在[a,b上 Riemann可积 今f(x)x= lim>MAr|=lim∑mAx1=f(x)dx T|>0 T|→>0 VE>03分割T,使得∑aAx≤ 11=Sup{f(x):x1≤x≤x} 1=nf{f(x):x1≤x≤x}Riemann可积的充要条件 i i i i i i i i i M m m f x x x x M f x x x x = − =   =   − −  inf{ ( ): } sup{ ( ): } 1 1 0 1         = i n i i T x 1 0, 分割 ，使得 i n i i T b a  f x dx =  M x  = → 1 || || 0 ( ) lim m x f x dx b a i n i i T lim ( ) 1 || || 0   =  = = → f(x)在[a,b]上Riemann可积