Chapter 12, Problem 37RE

Oxygen levels in water The rate of change of the oxygen level (in mmol/1) per month in a body of water after an oil spill is given by

$P\text{'}(t)=400\left[\frac{5}{{\left(t+5\right)}^2}-\frac{50}{{\left(t+5\right)}^3}\right]$ where t is the number of months after the spill. What function gives the oxygen level P at any time t if P = 400 mmol/1 when t = 0?