I am not sure how to approach this problem.

**Problem**

Suppose a certain object moves in a straight line with the following velocity, where

is in meters per second and

is in seconds:

Without using your calculator, but instead using properties of definite integrals and facts you know about area, determine the net change in distance of the object from

to time

and find the object's average velocity on this interval.

My impression is that the net change in distance would be:

But since we cannot use our calculators I am unsure.