2. Clairaut's Theorem implies that if the vector field } = Pî +QÎ + RÂ is conservative and P, Q, and R have continuous first-order partial derivatives, then ӘР aq ӘР ƏR aQ ƏR ду дх дz ду = Əx дz (a) Use the statement above to show that the vector line integral Scx dx + 2x dy + xz dz is not independent of path. (b) Find two directed curves Cị and C2 that start at the same point and end at the same point, such that x dx + 2x dy + xz x dx + 2x dy + xz dz. la dz + Sc .