楼主既然是考研生了,基础应该不错,我这里简单地写写过程.原式分子加x^2减x^2后分项原式=∫1/(x^4-x^2+1)dx-∫x^2/(x^6+1)dx对于右边的积分,=-(1/3)∫1/[(x^3*2)+1]d(x^3)=-(1/3)arctan(x^3)+C1对于左边的积分,=∫1/[...