更换积分∫(0,1)dx∫(1,1+x)f(x,y)dy+∫(1,2)dx∫(x,2)f(x,y)dy的积分顺序
人气:342 ℃ 时间:2020-03-28 16:47:12
解答
积分区域:0《x《1,1《y《1+x;1《x《2,x《y《2
交换顺序得:1《y《2,y-1《x《y
∫(0,1)dx∫(1,1+x)f(x,y)dy+∫(1,2)dx∫(x,2)f(x,y)dy
=∫(1,2)dy∫(y-1,y)f(x,y)dx
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