Bill
Posts:
772
Registered:
8/11/13


Re: What is the antiderivative of 1/(2*sqrt(x)) ?
Posted:
Aug 16, 2013 6:37 PM


Earle Jones wrote: > In article <284ef2c6bf84477eb0c9102889243f8f@googlegroups.com>, > G Patel <gaya.patel@gmail.com> 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 righthalf plane it is wellbehaved. > > What does it look like in the lefthalf plane? > > earle > *

