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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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Posts: 772
Registered: 8/11/13
Re: What is the antiderivative of 1/(2*sqrt(x)) ?
Posted: Aug 16, 2013 6:37 PM
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Earle Jones wrote:
> In article <>,
> G Patel <> 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
> *

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