设f(x)连续,且∫（2x+2,x^2-1）f(t)dt=1+x^3,则f（8）=

设设f(x)连续,且∫f(t)dt=x,求f(2) 设f(x)连续,且f(x)=2+∫(0到x)f(t)dt,求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f(x)连续,且∫（2x+2,x^2-1）f(t)dt=1+x^3,则f（8）= 设f(x)连续,且∫（2x+2,x^2-1）f(t)dt=1+x^3,则f（8）=如题 设f(x)连续,且满足f(x)=∫上2x下0tf(t/2)dt+1,则f(x)=? f(x)连续且f(x)=x+(x^2)∫ (0,1)f(t)dt,求f(x) 设函数f(x)在x=2处连续,且lim（x→2）f(x)/(x-2)(x→2)=3,求f'(2). 设f(x)有连续导数,且f(0)=0,f'(0)≠0,设f(x)有连续导数,且f(0)=0,f'(0)≠0,F（x）=∫[0,x]（x^2-t^2)f(t)dt,当x→0时,F’（x）与x^k是同阶无穷小,则k=? 高数积分题一道,设f(x)有连续导数且F(x)=∫(0→x)f(t)f'(2a-t)dt设f(x)有连续导数且F(x)=∫(0→x)f(t)f'(2a-t)dt,试证：F(2a)-2F(a)=(f(a))^2-f(0)f(2a). 设f(x)有连续导数,且f(0)=0,f'(0)≠0,F（x）=∫[0,x]（x^2-t^2)f(t)dt,当x→0时,F’（x） 设函数f(x)具有连续的导数且满足方程,∫(0-x)(x-t+1)f'(t)dt=x^2+e^x-f(x),求f(x) 设f（x)连续,且∫（下0上x^2-1) f(t)dt=1+x^3,则f(8)=?最好写出解题步骤 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x=1处连续,且lim(x趋向于1时)f(x)/(x-1)=2,则f'(1)=___ 设f(x)在x=0连续,且lim(x+sinx)/ln[f(x)+2]=1x趋近于0,则f'(0)? 设f''(x)在[0,1]连续,且f(0)=1,f(2)=3,f'(2)=5,求∫[0,1]xf''(2x)dx 设f''(x)在[0,1]上连续,f'(1)=0,且f(1)-f(2)=2,则∫(0,1)xf''(x)dx=