求積分高人解答(20點)

2010-09-30 5:56 am
求積分高人解答。

圖片參考:http://imgcld.yimg.com/8/n/HA00704496/o/701009290152513873374430.jpg

P.S.要有式

回答 (3)

2010-10-09 1:59 am
✔ 最佳答案
(1) The anti-derivative fn. of exp(-x^2/2) cannot be expressed as fundamental fns.
(2) It can be denoted by a special fn. erf(x)=(2/√π)∫[0~x] exp(-t^2) dt.
(3) ∫exp(-x^2/2) dx (set u=x/√2)
=∫ exp(-u^2) (√2) du
= √2 erf(u)+C= √2 erf(x/√2)+C
2010-10-06 4:48 am
謝謝﹗謝謝﹗謝謝﹗謝謝﹗
2010-09-30 10:41 am
你的式是否欠缺了dx?
謝謝!


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