(3)令t=√(x-1),则x=t^2+1,dx=2tdt原式=∫2/(t^2+1)dt=2arctant+C=2arctan√(x-1)+C,其中C是任意常数(4)令t=x^(1/3),则x=t^3,dx=3t^2dt原式=∫3t^2/(t^3+t^2)dt=∫3/(t+1)dt=3ln|t+1|+C=3ln|x^(1/3)+1|+C,其中C是任意常数