[微積] 重積分
(x+y)/(x-y)
∫ ∫ e^ = ? where R is the trapezoidal region with vertices
R (1,0) (2,0) (0,-2) (0,-1)
我的想法是用Jacobian 令 u= x+y du = dx + dy
v= x-y dv = dx - dy dudv = |-2| dxdy
-> 1/2dudv = dxdy
而u跟v的範圍
很明顯 u = x-y 用圖看就知道 1 <= u <= 2
但是對v的上下界怎麼取我就不知道該怎麼辦了@@
還是我的算法有錯@@
有高手能幫忙解惑嗎@@ 感謝!
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