Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

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

 Messages: [ Previous | Next ]
 Earle Jones Posts: 235 Registered: 12/6/04
Re: What is the antiderivative of 1/(2*sqrt(x)) ?
Posted: Aug 16, 2013 5:35 PM

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?

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