设f(x)当X＞0时连续∫f(x)dx=2x/(1+x^2)+C,求f(x)

设f(x)当X＞0时连续∫f(x)dx=2x/(1+x^2)+C,求f(x) 设函数f(x)在对称区间【-a,a】上连续,证明∫(-a,a)f(x)dx=∫(0,a)[f(x)+f(-x)]dx 设f(x)连续 则d∫(0,2x)xf(t)dt/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(x)=?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(x)= 设函数f(x)在(-∝,+∝)上连续则d【∫f(x)dx】= 设当x>0时,函数f(x)连续且满足f(x)=x+∫(1,x)1/xf(t)dt,求f(x) 设函数f(x)在区间(0,1)上连续,并设∫(0,1) f(x)dx=1,则∫ dx∫ f(0,1)dx∫(x,1) f(x)f(y)dy= 设f(x)在(-无穷,+无穷)内连续,证明(d/dx)∫(0~x)(x-t)f'(t)dt=f(x)-f(a) 设F(X)在[0,1]中连续,证明 ∫0~1/2 f(1-2x)dx =1/2∫0~1 f(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x≤0时,f(x)=1+x^2,x＞0时,f(x)=e^(-x),求∫(1,3)f(x-2)dx 设当x≤0时,f(x)=1+x^2,x＞0时,f(x)=e^(-x),求∫(1,3)f(x-2)dx 设f(x)=x+√x(x>0),求∫f′(x²)dx 设f(x)在[0,1]上有二阶连续导数,证明:∫ (-1,2)f(x)dx=1/2[f(1)+f(2)]-1/2∫(1,2)(2-x)(x-1)f(x)dx 设f(x)连续,Y=∫0~X tf（x^2-t^2）dt 则dy/dx=? 设f(x)连续,d/dx∫上标x下标0tf(x^2-t^2)dt=? .设f(x)连续,则d/dx∫x(上标)0(下标)tf(x^2-t^2)dt=? 设f(x)有连续导数,且f(0)=0,f'(0)≠0,F（x）=∫[0,x]（x^2-t^2)f(t)dt,当x→0时,F’（x）