设函数f(x)在(-∞,+∞)上连续,且f(x)=e^x+1/e∫(0,1)f(x)dx,求f(x)
设函数f(x)在(-∞,+∞)上连续,且f(x)=e^x+1/e∫(0,1)f(x)dx,求f(x)
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
设连续随机变量X的分布函数F(x),且数学期望存在,证明:E(X)=∫∞0[1-F(x)]dx-∫0-∞F(x)dx
设函数f(x)在(-∞,+∞)可导,且满足f(0)=1,f'(x)=f(x),证明f(x)=e^x
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f(x)连续,且满足f(x)=e^x+∫x上0下(t-x)f(t)dt 求f(x)
设正值函数f(x)在[0,1]上连续,试证:e^(∫(0→1)lnf(x)dx)
f(x)连续,f(x)=e^x-x∫(0到1)f(x)dx,求∫(0到1)f(x)dx
若f(x)=e^x+2∫(0 1)f(x)dx 求f(x)
已知函数f(x)连续,且f(x)=x-∫上1下0f(x)dx,求函数f(x)
f(x)=e^x/x,求∫f'(x)dx/1+f^2(x)?