设函数f(x)连续,求lim(x→b)x∧2/(x-b)∫(x,b)f(t)dt,求解

设函数f(x)连续,求lim(x→b)x∧2/(x-b)∫(x,b)f(t)dt,求解 设函数f(x)在区间[a,b]上连续,则lim(x->a)∫(a->x)f(t)dt=____,lim(x->a)1/( 设函数f(x)在[A,B]上连续,证明lim(h→0) 1/h*∫(x,a)[f(t+h)-f(t)]dt=f(x)-f @问几个高数题,1设函数f(x)连续,f(0)不等于0.求lim｛[∫（x-t）f(t)dt]｝／｛[x∫f(x-t)d 设f(x)具有连续导数,且满足f(x)=x+∫(上x下0)tf'(x-t)dt求lim(x->-∞)f(x) 小弟虚心受教1,设函数f(x)连续,f(0)不等于0,求lim[∫（x-t）f(t)dt]/[x∫f(x-t)dt]x- 『紧急』 设函数f(x)在[a,b]上连续,且f(x)>0,证明：()(x)=§(a,x)f(t)dt+2§(x,b)f 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) 设f(x)在[a,b]上连续,且F(x)=积分号x->a (x-t)f(t)dt,x属于[a,b],求F(x)的n阶导. 设f(x)在[a,b]连续,在(a,b)可导,f'(x)≤0,F(x)=[∫(a→x)f(t)dt]/(x-a),证明在 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) f(x)连续,g(x)=∫ t^2f(t-x)dt,求g'(x)