1/(x^8-2)=1/[(x^4-√2)*(x^4+√2)]=√2/4*[1/(x^4-√2)-1/(x^4+√2)]∫x^3/(x^8-2) dx=∫1/(x^8-2) d(x^4/4)=1/4*∫1/(x^8-2) d(x^4)=1/4*∫√2/4*[1/(x^4-√2)-1/(x^4+√2)] d(x^4)=√2/16*∫[1/(x^4-√2)-1/(x^4+√2)] d(x^4)=√2/16*ln|x^4-√2|-√2/16*ln|x^4+√2| +C