1/[x(x^6+4)] = -(1/4)x^5/(x^6+4) +(1/4) (1/x)∫dx/[x(x^6+4)]=(1/4) ∫ [-x^5/(x^6+4) +(1/x)] dx= (1/4) lnx - (1/24)∫ dln(x^6+4)= (1/4) lnx - (1/24)ln(x^6+4) + C