E := proc (phi) options operator, arrow; int(1/(1-(1-1/kappa^2)*sin(phi)^2)^(1/2), phi = 0 .. phi) end proc

E(pi/2)

Is there a way to get this function to work properly without having to simplify the integral manually ?

kappa is a constant (with a value of 12.4)

Thanks in advance!

Maple cannot find maximum/extrema for this piecewise function?

http://img97.imageshack.us/img97/3931/mapleerror.gif