[ALM] Differential Equation 1

2010-09-06 11:46 pm
∫[1/√(625 - u^4)]du

請問有咩方法易睇出黎?

OR

有無一些相似的題目提供?

選擇最佳解答要求:
1 要清楚列明步驟
2 如果有多於1種方法,最好寫出
3 以解答時間作準
4 以清晰程度作準
5 有注釋最好加埋,唔要無「里」頭
6 最好可以全部解答
7 無全部解答,則以時間作準
8 解答後一個工作天內將會評選出最佳解答,遲者只能說抱歉
9 最好不要抄襲,因為好容易清晰看見,如有類同,請加以補充
10 將以解答飽滿程度作出評選,亂答者當作廢論,抄襲者亦是如此

總結要求:快、準、清楚、要有充分個人見解;
有要求的話,盡諒為發問者解答完滿
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回答 (3)

2010-09-11 11:05 pm
✔ 最佳答案
本題除了可以以Elliptic Integral of the First Kind來表示外,還可以以Incomplete Beta Function來表示。再不喜歡者,就要先把它轉成級數然後直接積分(不過要分開兩個case)。

2010-09-11 15:05:59 補充:

圖片參考:http://i212.photobucket.com/albums/cc82/doraemonpaul/yahoo_knowledge/indefiniteintegral/crazyindefiniteintegral19.jpg

參考資料:
my wisdom of maths + http://en.wikipedia.org/wiki/Beta_function#Incomplete_beta_function + http://mathworld.wolfram.com/IncompleteBetaFunction.html + http://www.wolframalpha.com/input/?i=integrate+1%2F%28625-u%5E4%29%5E%281%2F2%29 + http://mathworld.wolfram.com/EllipticIntegraloftheFirstKind.html
2010-09-07 5:28 am
thank you >"<
Why don't you post it in Answer Area?

2010-09-06 22:03:31 補充:
Oh... thz for your website, I have added the website as my favourite. Thz a lot
2010-09-07 5:25 am
http://www.wolframalpha.com/input/?i=integration+of+1%2F%28625-u%5E4%29%5E%281%2F2%29

2010-09-06 21:51:51 補充:
I just copy the website to you...not answer by me...so I put it here...
By the way, http://www.wolframalpha.com/ is a very useful mathematical website, you can input your questions and then the machine will answer it!

2010-09-07 00:01:21 補充:
doraemonpaul兄,你會回答嗎?


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