设L为折线OAB,其中O(0,0),A(1,1),B(1,0),求曲面积分∫LxydS.
∫LxydS=∫OAxydS+∫ABxydS =∫01x2√2dx+∫01ydy =(√2/3)x3∣01+(1/2)y2∣01 =√2/3+1/2.
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