“Shell method” of surface area

2010-06-01 12:08 am
Let y = f(x) be a function continuous on [a,b] and ab ≥ 0. Find the area of the surface obtained by revolving y = f(x) between x = a and x = b about the y-axis.
更新1:

那麼在ab ≤ 0的時候又該如何計算?

回答 (1)

2010-06-05 6:20 am
✔ 最佳答案
Isn't it the surface area itself a shell???

2010-06-04 22:20:37 補充:
Please see the following by dividing the surface as rings:

圖片參考:http://img218.imageshack.us/img218/8587/88412607.png


2010-06-04 22:20:44 補充:
http://img218.imageshack.us/img218/8587/88412607.png


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