Table 1 lists the population density (in people per square kilometer) as a function of distance r

Question:

Table 1 lists the population density (in people per square kilometer) as a function of distance r (in kilometers) from the center of a rural town. Estimate the total population within a 1.2-km radius of the center by taking the average of the left- and right-endpoint approximations.

r TABLE 1 Population Density p(r) 125.0 102.3 0.0 0.2 0.4 0.6 83.8 68.6 r 0.8 1.0 1.2 p(r) 56.2 46.0 37.6