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Topic: What is the antiderivative of 1/(2*sqrt(x)) ?
Replies: 8   Last Post: Aug 16, 2013 6:58 PM

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 Bill Posts: 772 Registered: 8/11/13
Re: What is the antiderivative of 1/(2*sqrt(x)) ?
Posted: Aug 16, 2013 6:37 PM

Earle Jones wrote:
> G Patel <gaya.patel@gmail.com> wrote:
>

>> What is the antiderivative of 1/(2*sqrt(x)) ?

The same as 1/2 times the antiderivative of x^(-1/2).

>>
>> Is it, sqrt(x) in its entirety, or sqrt(x), x>0 ?
>>
>> That is, say f had domain X and f' has domain Y, a strict subset of X.
>> Do we consider the original f as the antiderivative of f', or is the
>> antiderivative the restriction of f to Y?

> *
> And for extra credit:
>
> y = x^x
>
> In the right-half plane it is well-behaved.
>
> What does it look like in the left-half plane?
>
> earle
> *

Date Subject Author
8/4/13 gaya.patel@gmail.com
8/4/13 Stuart M Newberger
8/5/13 Stuart M Newberger
8/5/13 Brian Q. Hutchings
8/6/13 Stuart M Newberger
8/16/13 Earle Jones
8/16/13 Bill
8/16/13 Virgil
8/16/13 Bill