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)≤f(x)≤f(x)≤…≤f(x)≤…且mf(x)=f(x) n→00 则mnf(x)hx=imnf(x)hx n→∞JE En X 积分的几何意义(函数非负) 1 (L)l f(rdx=mG(E; f E EA)为递增集列 m(lim G(E: )=lim mG(E; n 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