设F(X)在[0,1连续,且满足f(X)=4X^3-3X^2∫f(x)dx正在考试,求速度

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F(X)在[0,1连续,且满足f(X)=4X^3-3X^2∫f(x)dx正在考试,求速度 设函数f(x)满足条件f(x+y)=f(x)+f(y),且f(x)在x=0处连续,证明f(x)在所有的点x0处连续 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f(x)在[0,1]上具有二阶连续导数,且|f''(x)| 设f(x)在[0,1]上连续,且f(x) 高等数学问题：设f(x)在[0,1]上连续,且f(x) 设f(x)在区间[0,1]上连续,且满足f(x)=x²∫(0,1)f(t)dt+3,求∫(0,1)f(x)dx及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f(x)在[0,1]上连续 且满足f(x)=[1/(1+x^2)]-积分号(上限1,下限0)f(x)dx 求f(x)在[0,1]的平均值 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f(x)连续,且满足f(x)=∫上2x下0tf(t/2)dt+1,则f(x)=? 设f(x)在区间[0,1]上连续,且f0)f(1) 设f(x)在[0,1]上连续,且f(t) 设f(x)在[0,1]上有连续导数,且f(x)=f(0)=0.证明 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)RT