设f(x)≥0,在[a,b]上连续且∫(0,1)f(x)dx=0,试证:在[a,b]上有f(x)=0

设f(x)在[a,b]上连续,且a 设f(x)在[a,b]上连续,且a 设f(x)在[a,b]上连续,且a 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)^2. 设函数f(x)在[a,b]上连续,在(a,b)内可导且f'(x) 设函数f(x)在[a,b]上连续,在(a,b)上可导且f'(x) 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 设函数f(x),g(x)在区间[a,b]上连续,且f(a) 设y=f(x)在[a,b]上连续,且f(x)≥0.证明：当且仅当f(x)≡0时, 设f‘(x)在[a,b]上连续,且f(a)=0,证明:|∫b a f(x)dx|求详细过程 设函数f(x)在[a,b]上连续,在(a,b)可导,且f(a)*f(b)>0,f(a)*f((a+b)/2) 设f(x)≥0,在[a,b]上连续且∫(0,1)f(x)dx=0,试证:在[a,b]上有f(x)=0 设f(x)在[a,b]上有连续二阶导函数,且f(a)=f(b)=0,证明∫[a,b][2f(x)-(x-a)(x-b)f''(x)]dx=0 设f(x),g(x)在[a,b]上连续,在(a,b)内可导,且f(a)=f(b)=0,g(x) 设函数f(x)在[a,b]上有连续导数,且f(c)=0,a 设函数f(x)在[a,b]上连续,在(a,b)内有二阶导数,且有f(a)=f(b)=0,f(c)>0(a 设f'(x)在[a,b]上连续,在（a,b)内二阶可导,且f(a)=f(b)=0,f(c)>0,a 设f（x）在[a,b]上连续,在（a,b）内二阶可导,且f(a)f(b)＜0,f'(c)=0.a