dear, I suggest you when you stuck in these types of questions, change Cartesian coordinate to polar coordinate, calculations become easy and you will get your result... good luck....
and you know Stokes theorem (I did in so many previous attached solutions of your questions). you can use that also when it is closed line integral...
Abhishek singh
An alternate way to solve this question. you can check, whether it is conservative force or not. Because conservative forces are path independent, I have chosen a different path. ...