对Leⅵ逐项积分定理的说明 若f(x)为E上非负可测函数列, f(x)≤f2(x)≤f3(x)≤…≤f(x)s…,且lmf(x)=f(x n→0 则 I lim f,(x)kx=mf(x)hx n-Oo JE E X 积分的几何意义(函数非负) (D)lf(dx=mG(E; f E (E)为增集列 m(im G(E; f,)=lim mG(E; Sm) n→)00 n→00 单调增集列测度的性质对Levi逐项积分定理的说明 f(x) fn (x) fn+1(x) (L) f (x)dx mG(E; f ) E =  积分的几何意义（函数非负）： ( ) ( ) ( ) ( ) , lim ( ) ( ) 1 2 3 f x f x f x f x f x f x n n     n  = →   且   → → = E n E n n n 则lim f (x)dx lim f (x)dx 若fn (x)为E上非负可测函数列， (lim ( ; ) lim ( ; ) n n n n m G E f mG E f → → = G(E; f n )为递增集列 单调增集列测度的性质