Lockup Calculating Arc Length of Ellipse

[Helge Gabert]

On the physical Prime, if one simplifies the integrand first with simplify(),

then int(sqrt(3*sin(x)^2+1),x,0,pi*2) does at least not hang the calculator (if that is any consolation) - - but it doesn't give an exact solution, either, rather an unnecessarily complicated integral of sqrt(-3/4*cos(2*x)+i*sin(2*x))+ ... with an info message "searching int of sqrt(...) where x is on the unit circle, using residues . . . sign error vector [<1,1>]". ?