设L为折线OAB,其中O(0,0),A(1,1),B(1,0),求曲面积分∫LxydS.
【正确答案】:∫LxydS=∫OAxydS+∫ABxydS =∫01x2√2dx+∫01ydy =(√2/3)x3∣01+(1/2)y2∣01 =√2/3+1/2.
设L为折线OAB,其中O(0,0),A(1,1),B(1,0),求曲面积分∫LxydS.
- 2024-08-03 20:08:30
- 高等数学(工本)(00023)
- 5