Chapter 6.4, Problem 89E

Use Table 1 to evaluate all integrals involved in any solutions of Problems 71–94.

89. Pollution. An oil tanker is producing an oil slick that is radiating outward at a rate given approximatcly by

$\begin{array}{cc}\frac{dR}{dt}=\frac{100}{\sqrt{t^2+9}}& t\ge 0\end{array}$

where R is the radius (in feet) of the circular slick after t minutes. Find the radius of the slick after 4 minutes if the radius is 0 when t = 0.