∫{√(x^4+x^-4+2)}/x^3dx
=∫√(x²+1/x²) /x³ dx
=∫ (x²+1/x²)/x³ dx
=∫(1/x+1/x^5) dx
=lnx-1/4x^4+C
希望对你有帮助,望采纳,谢谢~