定积分的证明设函数f(x)在[a,b]上连续且单调递增,求证:∫[b,a] xf(x)dx≥[(a+b)/2]∫[b,a
定积分的证明设函数f(x)在[a,b]上连续且单调递增,求证:∫[b,a] xf(x)dx≥[(a+b)/2]∫[b,a
设函数f(x)在【a,b】上连续且单调增加,求证∫[a ,b] xf(x)dx >=a+b/2∫[a ,b] f(x)d
函数f(x)与xf(x)在[a,b]上连续,且f(x)与xf(x)在[a,b]上的定积分都==0,
定积分的高数数学题设函数f(x)在区间[a,b]上连续,且f(x)>=0,若∫(b a)f(x)dx=0,证明f(x)恒
设f(x)在[a,b]连续且f′(x)>0,证明∫(a,b) xf(x)dx≥(a+b)/2 ∫(a,b)f(x)dx
如果函数f(x)在区间[a,b]上连续且定积分{上限a,下限b}f(x)dx=0,证明在[a,b]上至少
设f(x) 在[a,b] 上连续,且f(x)>0.求证:∫(a,b)f(x)dx*∫(a,bdx/f(x)≥(b-a)^
设f‘(x)在[a,b]上连续,且f(a)=0,证明:|∫b a f(x)dx|
定积分证明题:f(x)在闭区间a到b上连续,求证:,∫b到a f(x)dx=,∫b到a f(a+b-x)dx
定积分的证明设y=f(x)及y=g(x)在[a,b]上连续.证明: (∫f(x)g(x)dx)^2=0左端的被积函数展开
设f(x)在[a,b]上连续,且f(x)>0,证明:∫b a f(x)dx*∫b a 1/f(x)dx≥(b-a)^2
设f(x)在[a,b]上连续,f(a)=f(b)=0,定积分f^2(x)从b到a等于1,则定积分xf(x)f'(x)等于