Suppose that the velocity of a rocket shot directly into the air is given byv(t) = 2004t²m/s.

(a) Use 8 subintervals of equal length and the left endpoint of each interval as sample points to estimate how far the rocket travels during the first four seconds.

______ m

(b) Use 8 subintervals of equal length and the right endpoint of each interval as sample points to estimate how far the rocket travels during the first four seconds.

________m