设f(x)为连续可导函数,f(x)恒不等于0、如果[f(x)]^2=∫(0-x) f(t)sintdt/(2+cost)

设f(x)为连续可导函数,f(x)恒不等于0、如果[f(x)]^2=∫(0-x) f(t)sintdt/(2+cost) 设f(x)为连续可导函数,f(x)横不等于0,如果f(x)^2=∫(f(t)*sint)dt/(2+cost) (t的上 8、设f(x)为可导函数,且满足∫0到x f(t)t^2 dt=f(x)+3x 求f(x) 设f(x)=∫((pi,x) sintdt/t,求∫(0,pi) f(x)dx 高数：设可导函数f(x)满足f(x)cosx+2∫(0~x)f(t)sintdt=x+1,求f(x) 17,设f(x)为可导函数,且满足∫0到x tf(t)dt=f(x)+x^2 求f(x) 证明：设f(x)在(-∞,+∞)连续,则函数F(x)=∫(0,1)f(x+t)dt可导,并求F'(x) 设f(x)=∫(1,x^2)sintdt/t,求∫(0,1)xf(x)dx 三道微积分题目1.设f(x)的导函数连续且满足 [f(x)]^2=100 +∫(0到x) {[f(t)]^2+[f'(t 设函数f(x)可导,且满足f(x)-∫(上限为x,下限为0)f(t)dt=e^x,求f(x) 需要详解, @问几个高数题,1设函数f(x)连续,f(0)不等于0.求lim｛[∫（x-t）f(t)dt]｝／｛[x∫f(x-t)d 设函数f(x)满足f(x)+2f=x(x不等于0),求f(x)