Answer
$e^{0} + e^1 + e^2 \approx 11.107 m$
Work Step by Step
We begin by computing the length of the sub-intervals. To do this, we take the length of our interval, and divide by the number of sub intervals. $(3-0) /3 = 1$.
Next, we compute the height of each rectangle. Since this is a left-hand sum, we take the lower bound of each sub interval. ($0,1,2$). Finally, we evaluate the function at each bound, then multiply by the height of the sub interval, and sum. $e^0 * 1 + e^1 * 1 + e^2 * 1 \approx 11.107$. since we are multiplying velocity ($meters/seconds$) by time ($seconds$), our units must be $meters$. This is logical as we are solving for displacement, which is measured in terms of distance.