设f(x)在【0,2】连续,且f(x)+f(2-x)≠ 0,问L=∫(0到2）f(x)(2x-x^2)dx/(f(x)+f(2-x))=?再麻烦说下你想到了设g(t)=∫(1-t到1+t）的思路行么？还有就是从 g(t) 到g'(t)你用的是牛顿莱布尼茨的变上限公式吧？也

设f(x)连续,且f(x)=2+∫(0到x)f(t)dt,求f(x). 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[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=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,且满足f(X)=4X^3-3X^2∫f(x)dx正在考试,求速度 设设f(x)连续,且∫f(t)dt=x,求f(2) 设f(x)在[0,2]上连续,在(0,2)上可微,且f(0)*f(2)>0,f(0)*f(1) 设函数f(x)在[a,b]上连续,在(a,b)可导,且f(a)*f(b)>0,f(a)*f((a+b)/2) 设f(x)在[a,b]上连续,且a 设f(x)在[a,b]上连续,且a 设f(x)在[a,b]上连续,且a 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]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=