Alright, so I integrated v(t) to get x(t) = -1/3t3 + t2 + C.
Input values of t=1,2,3,4 and found that at t=2.0s, the positive displacement is 1.33m, at t=3, it is 0m and at t=4, it is -5.3m.
So, the maximum positive displacement is 1.33m at t=2.0s.
Have I finally got it right?