Solve part a and b

6. Let F= x sin(x2 +y) i+ =(sin(x2 + y) +3y)j+zk. a) Show that F is conservative by evaluating a potential function for F. b) Evaluate the integral of F over the curve r(t) = t(t -1) i+ (t - D)etj + ttk, t E [0,1]