question.
if R consists of all points on or enclosed by x^2 + y^2 =100 ( oriented counterclockwise) except those points enclosed by (x+2)^2 + y^2 = 1 (oriented clockwise) or (x-2)^2 +y^2 =1 (oriented clockwise).
Find the integral of bdry(R) of (e^(-x) + 2y)dx +xdy
Please show me how to solve this problem. Thank you very much.