设f(x)在[0,1]上连续,且f(t)
设f(x)在[0,+∞)上连续,且∫(0,x)f(t)dt=x(1+cosx),则f(x)=?
设f(x)在[0,1]上具有二阶连续导数,且|f''(x)|
设f(x)在区间[0,1]上连续,且f0)f(1)
设f(x)在[0,1]上有连续导数,且f(x)=f(0)=0.证明
设函数f(x)在[0,正无穷)上连续,单调不减且f(0)>=0,试证 F(x)=1/x*∫(0到x)t^n*f(t)dt
设f(x)在[a,b]上连续,在(a,b)可导且f'(x)小于等于0,F(x)=(1/x-a)∫[0-->x]f(t)d
设函数f(x)在区间[a,b]上连续,在(a,b)内可导且f'(x)≤0,F(X)=1\(x-a)·∫<a,x>f(t)
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】上有连续导数,证明x∈【0,1】,有|f(x)|≤∫(|f(t)|+|f′(t)|)dt
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在0到1上连续且可导,3*定积分上1/3下0e^(1-x^2)f(x)dx=f(1),证明存在t在(0,1)使f'(
设f(x)连续,且满足f(x)=e^x+∫x上0下(t-x)f(t)dt 求f(x)