\\\\int_C (xvec(i)+yvec(j))*dvec(r)

where

C

is the semicircle with cen-\ ter at

(2,0)

and going from

(3,0)

to

(1,0)

in the region\

y>0

.

C(xi+yj)dr where C is the semicircle with center at (2,0) and going from (3,0) to (1,0) in the region y>0