设f(x)在[a,b]上有连续的导数,且f(x)不恒等于0,f(a)=f(b)=0,证明∫(a,b)xf(x)f'(x)
设f(x)在[a,b]上有连续的导数,且f(x)不恒等于0,f(a)=f(b)=0,证明∫(a,b)xf(x)f'(x)
设f‘(x)在[a,b]上连续,且f(a)=0,证明:|∫b a f(x)dx|
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
一道高数证明题,设f(x)在[a,b]上连续,证明:若在[a,b]上,f(x)≥0,且f(x)不恒等于0,则>0 .书上
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
设f(x)在[a,b]上有二阶导数,且f''(x)>0,证明:函数F(x)=[f(x)-f(a)]/(x-a) 在(a,
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,
设f(x)在[a,b]上具有二阶导数 且f(a)=f(b)=0 f'(a)f'(b)>0 证明 至少存在一点
f(x) 的导数 f`(x)在[a,b]上连续,且f(b)=a,f(a)=b,证明:定积分∫[a,b]f(x) f`(x
设函数f(x)在[a,b]上有连续导数,且f(c)=0,a
设f(x)在[a,b]上二阶导数连续,f(a)=f(b)=0,证明:如下
设f(x)在区间[a,b]上连续,且f(x)>0,证明 f(x)在[a,b]上的导数 乘 1/f(x)在[a,b]上的导