作者youyouyou (第3年高3生活)
看板trans_math
标题Re: [考古] 积分应用
时间Mon Jan 31 23:52:14 2005
※ 引述《sampo123 (ask)》之铭言：
: Find the volume under the surface f(x,y) = exp(-y^2)
: and over the domain D which is the region bounded by
: curves y=x, x=0, and y=3
2 2 2
3 y -y 3 (-1) -y 2 -1 -y 3 1 -9
∫ ∫ e dxdy = ∫ ------ e d(-y )= --- e | = ---(1 - e )
0 0 0 2 2 0 2
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