Evaluate the work done by the vector field

I = ∫_c[( y/(x^2+y^2) - 1 )dx - ( x/(x^2+y^2))dy]

between the points A(5,30/pi) and B(2,8/pi). Make an independent decision about the most convenient path of integration (c). It seems pretty hard to me but I want to be able to do it so I can tackle some other problems. An answer with steps showing me how to do it would be absolutely amazing. Regards,
Rick

Question

Evaluate the work done by the vector field

I = ∫_c[(  y/(x^2+y^2) - 1 )dx - ( x/(x^2+y^2))dy]

between the points A(5,30/pi) and B(2,8/pi). Make an independent decision about the most convenient path of integration (c). It seems pretty hard to me but I want to be able to do it so I can tackle some other problems. An answer with steps showing me how to do it would be absolutely amazing. Regards,
Rick