計算雙重積分
∫∫R ycos(xy)dA,
R={(x,y)|0 <= x<=1 , 0<=y <=ㄆㄞ}
2006-08-21 20:02:53 · 1 個解答 · 發問者 ? 1 in 教育與參考 ➔ 考試
∫∫R ycos(xy) dA=∫0π∫01 ycos(xy) dxdy=∫0π [sin(xy)]x=01 dy=∫0π siny dy=[-cosy]0π =-cosπ-(-cos0)=-(-1)-(-1)=2
2006-08-22 03:18:00 · answer #1 · answered by chan 5 · 0⤊ 0⤋