设f(x)在[0,1]内连续,(0,1)内可导,且f(0)=f(1)=0,f(1/2)=1,试证
设f(x)在[0,1]内连续,(0,1)内可导,且f(0)=f(1)=0,f(1/2)=1,试证
设f(x)在[0,1]上有二阶连续导数,且满足f(1)=f(0)及|f''(x)|
设函数f(x)在〔0,1〕上连续,在(0,1)内可导,且f(0)=f(1)=0,f(1/2)=1
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]上连续,f'(1)=0,且f(1)-f(2)=2,则∫(0,1)xf''(x)dx=
设f''(x)在[0,1]连续,且f(0)=1,f(2)=3,f'(2)=5,求∫[0,1]xf''(2x)dx
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(
一道高数题,设函数f(x)在[0,+∞)上连续,且f(x)=x(e^-x)+(e^x)∫(0,1) f(x)dx,则f(
设f(x)在区间[0,1]上连续,在(0,1)内可导,且满足f(1)=3∫ e^(1-x^2) f(x) dx
设函数f(x)在(-∞,+∞)上连续,且f(x)=e^x+1/e∫(0,1)f(x)dx,求f(x)
设f(x)在x=0处连续,且limx->0f(x)-1/x=a(a为常数),求f(0),f'(0)
设f(x)有二阶连续导数且f’(x)=0,limx—0 f’’(x) / [x] =1 为什么f(0)是f(x)的极小值