设f(x)=(x+1)^2(x-1)/x^3(x-2) ,求 ∫(3~-1)f'(x)/(1+f(x)^2)dx,求完整

设f(x)=(x+1)^2(x-1)/x^3(x-2) ,求 ∫(3~-1)f'(x)/(1+f(x)^2)dx,求完整 设f(x)=x㏑(1+x^2),x≥0.(x^2+2x-3)e^(-x),x＜0,求∫f(x)dx 设x≤0时,f(x)=1+x^2,x＞0时,f(x)=e^(-x),求∫(1,3)f(x-2)dx f(x)=e^x/x,求∫f'(x)dx/1+f^2(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) 设f(x)=∫(1,x^3)sint/tdt,求∫(0,1)x^2f(x)dx (若f(x)=∫(1,x^n)sint/ 设f(x)={1+x^2 (x=0) ,求∫(1,3) f(x-2)dx 设f(x)=(1/(1+x^2))+x^3∫(0到1)f(x)dx,求∫(0到1)f(x)dx 设函数f(x)满足f(x)+2f(1/x)=x,求f(x) 若f(x)=e^x+2∫(0 1)f(x)dx 求f(x) F(X)满足F(x)+2f(x分之1)=3X,求f(x) 已知f(x)满足2f(x)+f(1/x)=3x,求f(x)