When an Oil Well Burns, Sediment Is Carried Up into the Air

Short Answer

When an oil well burns, sediment is carried up into the air by the flames and is eventually deposited on the ground.Less sediment is deposited further away from the oil well.Suppose that the density (in tons/square mile)at a distance r from the burning oil well is given by $\frac{8}{1+r^{2}}$ .Find and evaluate an integral which represents the total amount of sediment which is deposited within 100 miles of the well.Round to 2 decimal places.