设f(x)在[0,1]上有连续导数,且f(x)=f(0)=0.证明
设f(x)在[0,1]上有连续导数,且f(x)=f(0)=0.证明
设f(x)在[0,1]上有连续的一阶导数,且|f'(x)|≤M,f(0)=f(1)=0,证明:
设f(x)在[0,1]上有连续导数,f(0)=0,0
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[0,1]上有二阶连续导数,且满足f(1)=f(0)及|f''(x)|
设f(x)在[0,1]上具有二阶连续导数,且|f''(x)|
设函数f(x)在[0,1]上具有连续导数,且f(0)+f(1)=0,证明:|∫ f(x)dx|≤1÷2×∫ |f’ (x
设函数f(x)在[a,b]上有连续导数,且f(c)=0,a
设f(x)有连续导数,且f(0)=0,f'(0)≠0,
设f(x)在区间【0,1】上有连续导数,证明x∈【0,1】,有|f(x)|≤∫(|f(t)|+|f′(t)|)dt
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)导数在【-1,1】上连续,且f(0)=1,计算∫【f(cosx)cosx-f‘(cosx)sin^2x】dx(