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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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Stuart M Newberger

Posts: 457
Registered: 1/25/05
Re: What is the antiderivative of 1/(2*sqrt(x)) ?
Posted: Aug 4, 2013 6:59 PM
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There is initially no f. You are given a function -in your case g(x)=1/(2*sqrt(x)) which has natural real domain (ie largest) the set of all positive integers. Whatever you choose to be the domain of g ,Antiderivative means a function f with f'=g on this domain. So for your g .f(x)= sqrt(x) for all x>0 ,in other words domain f is the set of all positive integers.smn



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