设 gt 0 时 f(x)可导,且满足 (x)=1+dfrac (1)(x)(int )_(1)^xf(t)dt, 求 f(x).
设f(x)可微，且满足=(int )_(0)^xf(t)dt+(int )_(0)^xtf(t-x)dt，则f(x)=．设f(x)可微，且满足，则f(x)=．
12.设函数f(x)连续，且满足f(x)=e^x+int_(0)^xtf(t)dt-xint_(0)^xf(t)dt，求f(x).12.设函数f(x)连续，且满
19.函数f(x)在 [ 0,+infty ) 上可导, (0)=1, 且满足等式-|||-(x)+f(x)-dfrac (1)(x+1)(int )_(0)^
设f(x)在 [ 0,+infty ) 上非负连续,且 (x)(int )_(0)^xf(x-t)dt=2(x)^3, 则 f(x)=
设(x)=dfrac ({x)^2}(x-a)(int )_(a)^xf(t)dt, 其中f(x)设(x)=dfrac ({x)^2}(x-a)(int )_(
设f(x)在[a，b]上连续，F(x)=(int )_(a)^xf(t)dt，则(,)A. $F\left(x\right)$是$f\left(x\right)
已知 f(x)在 [1, 4] 可导, f(4)= 1, int_(0)^4 xf(x), dx = 3，则 int_(0)^4 f(x), dx = (
3.求满足方程 (x)=sin x-(int )_(0)^xf(t)dt 的连续函数f(x )的表达式.
设 f ( x ) 连续且(int )_(0)^xf(t)dt=1+(x)^3 则 f ( 1 ) = a 3 b 2 c 0 d 9设f(x)连续且则f(