原式=∮(x2+y2)ds+2∮zds =2/3∮(x2+y2+z2)ds+2/3∮(x+y+z)ds (用到轮换对称性) =2/3∮R2ds+2/3∮0ds (利用曲线积分可将曲线方程代入) =2/3 2πR =4/3 πR