S为球面X2+Y2+Z2-2X-2Y-2Z+1=0,求面积分∫∫s(x+y+z)dS

问题描述:

S为球面X2+Y2+Z2-2X-2Y-2Z+1=0,求面积分∫∫s(x+y+z)dS

X 2 + Y 2 + Z 2 = 2X +2 Y +2 Z (x - 1)2 +(Y - 1)2 +(Z - 1)2 = 3 所以X = 1 + U ,Y = 1 + V,Z = 1 + W ==>Σ':U 2 + V 2 + W 2 = 3 I =∫∫Σ(X 2 + Y 2)德尚 BR /> =∫∫Σ'[(1 + U)2 +(1 + V)2]副...