[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) (int )_(0)^xcos ((x-t))^2dt ;-|||-(4) (int )_(1)^2f(x+t)dt.

[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)

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

[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).

【例10】已知f(x)连续，int_(0)^xtf(x-t)dt=1-cos x，求int_(0)^(pi)/(2)f(x)dx的值.【例10】已知f(x)连续

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 )

设函数 f(x) 连续，则 (d)/(dx) int_(0)^x t f(x^2-t^2)dt = ( )A. $xf\left(x^{2}\right)$.B

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

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

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)=

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