Integral (極難之 7, 有興趣挑戰請進)

👨🏻‍🏫 學術台數學

魏王將張遼

2009-08-21 1:02 am

Evaluate for the indefinite integral:
∫√(sec x) dx

回答 (3)

mathmanliu

2009-08-22 3:41 am

✔ 最佳答案

可用convergent infinite fn. series表示嗎?

2009-08-21 19:41:12 補充：

圖片參考：http://s585.photobucket.com/albums/ss296/mathmanliu/sqrtsecx.gif

或參考:http://www.wretch.cc/album/show.php?i=mathmanliu&b=1&f=1740521777&p=147

Note: 此級數目前我求不出closed form!

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doraemonpaul

2009-08-29 12:06 pm

其實這題曾經有人問過：
http://hk.knowledge.yahoo.com/question/question?qid=7008022703674
不過你找不到這題也絕不出奇，因為這題一定掌握不到準確的關鍵字去找出。

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魏王將張遼

2009-08-21 6:11 pm

Any method is welcome, as long as it is sure that there's no closed form for the integral.

菩提兄, 很久不見了. 歡迎你重臨.

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