a) Parametrize the curve in the standard counterclockwise sense.

b) Evaluate over one complete transversal of the above curve.

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My approach & Answer:

a)

b) Since the field is not conservative, we have to find the line integral (i.e. the answer is not zero)... My final answer is

However, I think the negative sign is not correct because the force field is along the path of motion, meaning positive would make more sense...

What do you think?