作者blak (蝙蝠俠)
看板trans_math
標題[積分] double integral
時間Sat Jun 1 18:53:18 2013
Consider the rectangular region R shown in figure 14.1.9.
Approximate the double integral ∫∫ (x+y) dA using a Riemann sum
R
* *
and the R shown in figure. Choose the sample points(x , y ) at
k k k
(a) the geometric center of each R and
k
(b) the upper left-hand corner of each R
k
y
__________|____________
| | | | |
|R8 | R7 | R6 | R5 |
| | | |
|__ _|_ 1_|___ _|____ |_ figure 14.1.9
| | | | |
| R| | R2 | R3 | R4 |
| | | | |
|____|___ |__ _________|______x
|
1
2.suppose that ∫∫ x dA = 3 , ∫∫ y dA = 7, and the area of R is 8
R R
∫ ∫(3x+7y+1)dA = ?
R
這2題看原文書看不懂,可以麻煩寫算式給我參考嗎??麻煩了謝謝
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◆ From: 36.229.243.230
1F：推 newversion:寫出double integral的定義，直接帶進 140.112.251.86 06/01 20:08
2F：→ newversion:去 140.112.251.86 06/01 20:08
3F：→ blak:可以麻煩寫給我看嗎? 36.229.243.242 06/01 20:55
※ 編輯: blak 來自: 36.229.243.242 (06/01 22:00)
5F：→ newversion:請把這頁看懂 140.112.251.86 06/01 22:10
6F：→ newversion:第2題考Properties of Double Integral 140.112.251.86 06/01 22:10
7F：→ newversion:答案= 3*3 + 7*7 + 8 140.112.251.86 06/01 22:11
8F：→ blak:謝謝111.241.131.142 06/02 23:18
9F：→ blak:不好意思程度較差第1題看完還是不了解該怎麼 1.171.110.169 06/03 08:04
10F：→ blak:用黎曼和做 1.171.110.169 06/03 08:04