1.試求x=y^2,x=4為界的區域,繞著x=-1旋轉所包圍的體積
Ans:1088π/15
2.試求y=4x,y=x/2,y=1/x與x>0 所包圍的面積
Ans:3ln2/2
3.Consider the plane region R(t)={(x,y)│0<=x<=t,0<=y<=1/(1+x^2)},let
V(t)be the volume of the solid obtained by revolving R(t)about the x-axis
,then lim V(t)=?
t=>無窮
Ans:π^2/4
感謝
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※ 編輯: gghh711 來自: 218.175.235.210 (07/11 16:04)