∫(1+x^4)/(1+x^6) dx=∫(2+x^4-1)/(1+x^2)(x^4-x^2+1) dx=∫1/(1+x^2)+1/(x^4-x^2+1)-1/(1+x^2)(x^4-x^2+1) dx=∫1/(1+x^2)+x^2/(1+x^6) dx=arctanx+1/3*arctan(x^3)+C
x +1/5*x^5+1/7*x^7+1/11*x^11+C乘开以后逐项积分就行了