设f(x)连续,若f(x)满足∫(0,1)xf(t)dt=f(x)+xe^x,求f(x).
若f(x) 连续,∫[0,1]xf(t)dt=f(x)+xe^x,求f(x)
设f(x)连续,若f(x)满足∫(0,1)f(xt)dt=f(x)+xe^x,求f(x)
设当x>0时,函数f(x)连续且满足f(x)=x+∫(1,x)1/xf(t)dt,求f(x)
设f(x)连续,且满足f(x)=e^x+∫x上0下(t-x)f(t)dt 求f(x)
设f(x)=∫(1,x^2) e^(-t)/t dt,求∫(0,1)xf(x)dt
一道数学题:设f(x)连续,满足f(x)=x+2∫0xf(t)dt(从0到x积分),求f(x).答案是1/2(e^2x-
设f(X)连续且满足 f(x)=e^x+sinx- ∫ x 0 (x-t)f(t)dt,并求该函数f(x)
设函数F(X)具有二阶连续导数,且满足F(X)=[微分(上限X下限0)F(1-t)dt]+1,求F(X)
设连续函数f(x)满足f(x)=e^x-∫(0,x)f(t)dt,求f(x)
设f(x)连续 则d∫(0,2x)xf(t)dt/dx=?
设f(x)具有连续导数,且满足f(x)=x+∫(上x下0)tf'(x-t)dt求lim(x->-∞)f(x)
设f(x)连续,且满足f(x)=e^x+∫(0,x)tf(x-t)dt,求f(x)