求積分高人解答(20點)

(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

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你的式是否欠缺了dx?
謝謝!