设f(x)是连续函数,F(x)=int_(0)^xxf(t)dt,则F^prime(x)=()一、单选题(共50题,100.0分) 44.(单选题,2.0分)
[例8.24] 求连续函数f(x),使它满足 (x)+2(int )_(0)^xf(t)dt=(x)^2,
[题目]设f(x)是连续函数,且 (x)=x+2(int )_(0)^1f(t)dt,-|||-则 f(x)= __
[题目]-|||-设连续函数f(x)满足 (x)=(e)^x+(int )_(0)^x(t-x)f(t)dt 求f(x).
[2023年真题]设连续函数f(x)满足: f(x+2)-f(x)=x,int_(0)^2f(x)dx=0,则 int_(1)^3f(x)dx=[2023年真题
34.设函数f(x)为连续函数,且有int_(0)^x^(2)f(t)dt=x^4+x^2,则f(2)=()A. 0B. 2C. 3D. 5
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 )
设f(x)连续, varphi (x)=(int )_(0)^1f(xt)dt, 且 lim _(xarrow 0)dfrac (f(x))(x)=A设f(x)
设f(x)连续,且 (x)=x+2(int )_(0)^1f(t)dt, 则 f(x)= __
05 设f(u)为连续函数,且int_(0)^xtf(2x-t)dt=(1)/(2)(1+x^2),f(1)=1.则int_(1)^2f(x)dx=A. $\f