令x^(1/4)=u,则:√x=u^2,x=u^4,∴dx=4u^3du. ∴原函数 =4∫[(u-1+1)^2/(u-1)]du =2(u-1)^2+8u+4ln|u-1|+C =2[x^(1/4)-1]^2+8x^(1/4)+4ln|x^(1/4)-1|+C