5. Calculate the line integral of the function v = x² + 2yz ŷ + y² 2 from the origin to the point (1, 1, 1) by three different routes: (a)

(0, 0, 0)→ (1, 0, 0) → (1, 1, 0) → (1, 1, 1) (b) (0, 0, 0)→ (0, 0, 1) → (0, 1, 1) → (1, 1, 1) (c) The direct straight line. (d) What is the line integral around the closed loop that goes out along path (a) and back along path (b)?