设函数f(x)连续,且满足 (int )_(0)^x(x-t)f(t)dt=x(x-2)(e)^x+2x.-|||-(1)求函数f(x)的表达式;-|||-(2)求函数f(x)的单调区间与极值.

[例18] 设f(x)连续,试求下列函数的导数.-|||-(1) (int )_({e)^x}f(t)dt;-|||-(2) (int )_(0)^x(x-t)

[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).

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 )

[例18]设f(x )连续,试求下列函数的导数.-|||-(1)f(t)dt;-|||-(2) (int )_(0)^x(x-t)f(t)dt ;-|||-(3

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

已知函数f（x）满足(x)+f(1-x)=(x)^2，求f（x）的表达式已知函数f（x）满足，求f（x）的表达式

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

求详解8.设f(x)为非负连续函数,当 geqslant 0 时,有 (int )_(0)^xf(x)f(x-t)dt=(e)^2x-1, 求f(x).求详解

求函数f(x)=({x)^4}-2({x)^2}+3的单调区间与极值.求函数$f(x)={{x}^{4}}-2{{x}^{2}}+3$的单调区间与极值.

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