How would you go about integrating the following?
$\int (\arcsin x)/(1-x^2{)}^{1/2}\mathrm{dx}$

and

$\int (\mathrm{arcsinh}x)/(1+x^2{)}^{1/2}\mathrm{dx}$
Thanks for your help in advance.

$\int \arcsin (x)/(1-x^2{)}^{1/2}\mathrm{dx}$
should solve fairly easily by integration by parts, the derivative of arcsin(x) is 1/(1-x² )^1/2 , if that helps.

I'm afraid I haven't had much time to think about the second one; it seems quite hard though.

Thanks for your help Brad.
I'll sleep on the problems and post what I get today, at a sane hour though! ;)

I would have thought that the substitutions x = sin(t) and x = sinh(t) were an easier way of doing these integrals.

James.

Thanks for that tip James.