integral sqrt(1-x^2) . sin^-1 x dx
u = arcsin(x)
x = sin(u)
sqrt(1-x^2) = cos(u)
dx = cos(u) du
Now you have to integrate
cos(u) * u * cos(u) du
so integrate by parts.
x = sin(u)
sqrt(1-x^2) = cos(u)
dx = cos(u) du
Now you have to integrate
cos(u) * u * cos(u) du
so integrate by parts.