Earle Jones wrote: > In article <firstname.lastname@example.org>, > G Patel <email@example.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 right-half plane it is well-behaved. > > What does it look like in the left-half plane? > > earle > *