[積分] double integral
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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06/01 20:08, , 1F
06/01 20:08, 1F
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06/01 20:08, , 2F
06/01 20:08, 2F
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06/01 20:55, , 3F
06/01 20:55, 3F
※ 編輯: blak 來自: 36.229.243.242 (06/01 22:00)
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06/01 22:09, , 4F
06/01 22:09, 4F
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06/01 22:10, , 5F
06/01 22:10, 5F
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06/01 22:10, , 6F
06/01 22:10, 6F
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06/01 22:11, , 7F
06/01 22:11, 7F
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06/02 23:18, , 8F
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06/03 08:04, , 9F
06/03 08:04, 9F
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06/03 08:04, , 10F
06/03 08:04, 10F