velocity calculus

Question

Given the information below, estimate the total distance travelled during these 6 seconds using a left endpoint approximation. velocity ft/sec

time (sec)
0	30
1	54
2	56
3	34
4	8
5	2
6	22

Answer 1

Distance = ∫_{(from 0 to 6)} velocity dt ≈ (30)(1-0) + (54)(2-1) + (56)(3-2) + (34)(4-3) + (8)(5-4) + (2)(6-5) = 184 ft