If I calculate the integral:
z:=exp(I*t)
evalf(Int(z^(1/2)*(diff(z, t)), t = 0 .. 2*Pi))
I get -1.33333333*I
If I calculate
int(z^(1/2)*(diff(z, t)), t = 0 .. 2*Pi)
I get -4/3
so where is the I coming from? Am I doing sth something wrong?
I might add: if I calculate the same for z:=0.5+exp(I*t) I get 0 and -I*0.4714....
so what is going different here?