integration of e ^ x * x ^ (-1) dx

2008-08-17 1:38 am
excuse me, how to solve the integration of
e ^ x * x ^ (-1) dx
by the method of integration by parts?
I really appreciate the help~!
更新1:

感謝兩位! 兩者的答案都可見用心,難分高低,還是交由眾人選擇最佳回答吧~

回答 (3)

2008-08-17 10:32 pm
✔ 最佳答案
這題不難的,就是這樣做:

圖片參考:http://i187.photobucket.com/albums/x22/cshung/7008081601936.png

這就完成了

2008-08-17 14:58:31 補充:
Integrator:
http://integrals.wolfram.com/index.jsp

Exponential Integral:
http://mathworld.wolfram.com/ExponentialIntegral.html
參考: 從不抄襲。, 從不抄襲。
2008-08-19 8:32 pm
integration by parts 唔係咁樣ga...
.
INT { f(x)*g'(x) } dx
= INT { f(x) } d(g(x)) 其中一個function 整入去 d 後面先!
= [ f(x)*g(x) ] - INT { g(x) } d(f(x))
.
好似 answer001 咁樣先岩
2008-08-17 10:45 pm


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