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)在 [ 0,+infty ) 上非负连续,且 (x)(int )_(0)^xf(x-t)dt=2(x)^3, 则 f(x)=

设f(x)连续,且 (x)=x+2(int )_(0)^1f(t)dt, 则 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)=．

设f(x)连续,则 dfrac (d)(dx)(int )_(0)^xtf((x)^2-(t)^2)dt= ()-|||-A、xf(x^2)-|||-B、 -x

16、设 (int )_(0)^xf(t)dt=dfrac (1)(2)f(x)-dfrac (1)(2), 其中f(x)为连续函数,则 f(x)=()-|||

设f(x)是连续函数,且 (x)=(x)^2+2(int )_(0)^2f(t)dt 则 f(x)=设f(x)是连续函数,且 (x)=(x)^2+2(int )

9.设函数f(x)连续, (x)=(int )_(0)^sin xf(t(x)^2)dt-|||-(1)求F`(x);-|||-(2)讨论函数F`(x )的连续

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)

[题目]设f(x)是连续函数,且 (x)=x+2(int )_(0)^1f(t)dt,-|||-则 f(x)= __

分) 设 (x)=(int )_({x)^2}dfrac (t)(sqrt {1+{t)^3}}dt 求 =(int )_(0)^1xF(x)dx