已知f(x)在[-1,1]连续,且满足f(x)=3x-∫(0,1)f²(x)dx,

已知f(x)在[-1,1]连续,且满足f(x)=3x-∫(0,1)f²(x)dx, 设F(X)在[0,1连续,且满足f(X)=4X^3-3X^2∫f(x)dx正在考试,求速度 设f(x)在区间[0,1]上连续,在(0,1)内可导,且满足f(1)=3∫ e^(1-x^2) f(x) dx 设f(x)在区间[0,1]上连续,且满足f(x)=x²∫(0,1)f(t)dt+3,求∫(0,1)f(x)dx 一道高数题,设函数f(x)在[0,+∞)上连续,且f(x)=x(e^-x)+(e^x)∫(0,1) f(x)dx,则f( 设函数f(x)在(-∞,+∞)上连续,且f(x)=e^x+1/e∫(0,1)f(x)dx,求f(x) 设f(x)为连续函数,且满足f(x)=3x^2-x∫（1,0）f(x)dx求f(x) 已知f''(x)在[0,1]上连续,f'(1)=0,且f(1)-f(0)=2,则∫(0,1)xf''(x)dx= f(x)在(0.1)上连续且单调增,证明∫[0,1]f(x)dx f(x)在[0,1]连续,f(x)=3x-√(1-x^2)[∫f^2(x)]dx,求f(x) 已知函数f（x）连续,且f（x）＝x-∫上1下0f（x）dx,求函数f（x） 已知f(X)在（-∞,+∞）连续,且f(x)=(根号x)/(1+x)+∫（下0上4）f（x）dx,求∫（下0上4）f（x