Evaluate the path integral ( F . dr, where F(x, y) = yi + xj and C is the line segment from (0, 0) to (1, 1), which is either formed by (a) paths from (0, 0) to (1, 0), and from (1, 0) to (1, 1); (b) the curve y = a2. By the path (a) the value of the path integral is By the path (b) the value of the path integral is