[積分] double integral

[blak (蝙蝠俠)]

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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推 newversion:寫出double integral的定義，直接帶進
→ newversion:去
→ blak:可以麻煩寫給我看嗎?
※ 編輯: blak            來自: 36.229.243.242       (06/01 22:00)
推 newversion:http://tinyurl.com/mbh46oc
→ newversion:請把這頁看懂
→ newversion:第2題考Properties of Double Integral
→ newversion:答案= 3*3 + 7*7 + 8
→ blak:謝謝
→ blak:不好意思程度較差第1題看完還是不了解該怎麼
→ blak:用黎曼和做