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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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Earle Jones

Posts: 194
Registered: 12/6/04
Re: What is the antiderivative of 1/(2*sqrt(x)) ?
Posted: Aug 16, 2013 5:35 PM
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In article <284ef2c6-bf84-477e-b0c9-102889243f8f@googlegroups.com>,
G Patel <gaya.patel@gmail.com> wrote:

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


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