I need some help with this.

Example 6. The vector field F(x, y) = (z, -6y, x) is conservative. Find a potential function f so that VS = F. Then use that information to evaluate the line integral Jzda - by dy + x da where C is the curve r(t) = (t + +3, vt, 5 + 2") starting at t = 0 and ending at t = 1