I have the curve r(t) = (2cos(t), 2sin(t), 2sin(t)+3) for t between 0 and 2pi. I also have a vectorfield F=(x, y, x)
The lineintegral I get from r and F returns 0. But F is not conservative and r is a closed curve.
My question is therefore, is that right? I saw that if F is conservative and r is a closed curve, then the line integral is 0.