Your velocity is given by v(t)=2t^2+7 in m/sec, with t in seconds. Estimate the distance, s, traveled between t=0 and t=8. Use the average of the left and right sums with 4 subdivisions.
Answer: s=
∆x = 2, so
left = 2(s(0)+s(2)+s(4)+s(6))
right = 2(s(2)+s(4)+s(6)+s(8))
now plug and chug
you want s = (left+right)/2