The accompanying figure shows three polygonal paths joining the origin to the point (1, 1, 1). Integrate (x, y, z) = x 2 + y

The accompanying figure shows three polygonal paths joining the origin to the point (1, 1, 1). Integrate ƒ(x, y, z) = x² + y - z over each path.

(0, 0, 0) (1, 0, 0) N C C2 (1, 1, 1) C3 (1, 1, 0) X (0, 0, 1) (0, 0, 0) Z C C6 (0, 0, 0) (0, 1, 1) C (1, 1, 1) N CA (1, 1, 1) C3 (1, 1, 0)