f(x)连续,f(1)=1 f(2)=2 积分0到x (2x-t)f(t)dt=5x^3+1,求积分1到2 f(x)dx

f(x)连续且f(x)=x+(x^2)∫ (0,1)f(t)dt,求f(x) 连续导数已知f(x)=(x^2-1)^4/3求f ' 和 f '' 设函数f(x)连续,lim((f(x)/x)-1/x-(sinx/x^2))=2,f(0)=? 设函数f(x)连续,lim((f(x)/x)-1/x-(sinx/x^2))=2,f(0)=? f(x)在(0,1)上连续,f(0)=f(1)=0,证明必存在f''(x)=2f'(x)/(1-x) lim(x趋向于0)f(2x)/x=1,且f(x)连续,则f'(0)= 若f“(x)在[0,π]连续,f(0)=2,f(π)=1,求定积分上线π,下线0[f(x)+f(x)]sinx dx f(x)在[0,1]连续,f(x)=3x-√(1-x^2)[∫f^2(x)]dx,求f(x) f(x+y)=f(x)·f(y),且f(1)=2,求f(2)/f(1)+f(3)/f(2)+...+f(2010)/f(2009) f(x+2)=1/f(x),f(1)=5;问f(f(x))? f(x+2)=1/f(x),f(1)=-5,f[f(x)]等于多少? f(x)连续且可导,并且f(x+y)=[f(x)+f(y)]/[1-f(x)f(y)],求f(x) f(x)=sin60度X,求f(1)+f(2)+f(3)+.f(2010) f(x+y)+f(xy-1)=f(x)f(y)+2f(n)表达式 设f(x)具有一阶连续导数,f(0)=0,f'(0)=2,求了lim(x→0)f(1-cosx)/tan(x^2) 函数f(x)满足关系式f(xy)=f(x)+f(y)求f(1/3)+f(1/2)+f(1)+f(2)+f(3) 导数：f(x+y)=f(x)f(y),且f'(o)=1,求f'(x)f(x+y)=f(x)f(y),且f'(o)=1,求f'(x)f(x+y)=f(x)+f(y)+2xy,且f'(o)存在,求f'(x) f(1+x)=af(x),且f'(0)=b,求f'(1) f(x)是奇函数f(1)=0.5 f(x+2)=f(x)+f(2) 求f(5)