The Math Forum

Search All of the Math Forum:

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

Math Forum » Discussions » sci.math.* » sci.math

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

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]

Posts: 772
Registered: 8/11/13
Re: What is the antiderivative of 1/(2*sqrt(x)) ?
Posted: Aug 16, 2013 6:58 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Virgil wrote:
> In article <>,
> Earle Jones <> wrote:

>> In article <>,
>> G Patel <> wrote:

>>> What is the antiderivative of 1/(2*sqrt(x)) ?
>>> Is it, sqrt(x) in its entirety, or sqrt(x), x>0 ?

> But sqrt(x) in its entirety has only one more point of definition,
> namely x = 0, than its restriction to x > 0, so why worry?

I would say you are slightly taking the wrong perspective.
All that is required is that an antiderivative be differentiable
on the domain of the first function, whatever that domain is.
The first function is not defined at x=0 so, unless you have some
supplementary conditions, you can extend it to x=0 or even the negative
numbers, however you wish.

Bill in IN

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.