设函数f(x)在[0,1]上连续,且满足f(x)=x^2-3x∫f(t)dt（上限为1,下限为0）,试求f(x) 可写在纸上拍下来,

设函数f(x)在闭区间[0,1]上连续,且0 设函数y=f(x)在[0,1]上连续,且0 设函数y=f(x)在[0,1]上连续,且0 设函数f在[1]上存在二阶连续导数,且满足f(0)=f(1)=0,证明∫(1,0)f(x)dx=1/2∫(1,0)x(x-1)f(x)dx 设函数f(x)在[0,1]上连续,且满足f(x)=x^2-3x∫f(t)dt（上限为1,下限为0）,试求f(x) 可写在纸上拍下来, 设函数f(x)在R上连续,且满足f[f(x)]=x,证明：在R上至少存在一点m,使得f(m)=m 设函数f(x)在区间[0,1]上有连续导数,f(0)=1,且满足 ∫ ∫ Dt f'(x+y)dxdy= ∫ ∫ Dt f(t)dxdy,其中Dt={(x,y)|0 设函数f(x)在（01]上连续,且极限lim->0+f(x)存在,证明函数f(x)在（0,1]上有界 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,无穷)上连续可导,且f(0)=1,|f'(x)|0时,f(x) 设函数f(x)在[a,b]上连续,在(a,b)内可导且f'(x) 设函数f(x)在[a,b]上连续,在(a,b)上可导且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(x)=?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(x)= 设f(x)在R上满足f(x)的导数=2f(x),且f(0)=1,求函数f(x) 设f(x)在R上满足f(x)的导数=2f(x),且f(0)=1,求函数f(x) 设函数f(x)在x=0点连续 且满足limx->0(sinx/x^2+f(x)/x)=2求f'(0) 设函数f(x),g(x)在区间[a,b]上连续,且f(a) 设f(x)在[0,1]上具有二阶连续导数,且|f''(x)|