Dialysis treatment removes urea and other waste products from a patient's blood by diverting some of the bloodflow externally through a machine called a dialyzer. The rate at which urea is removed from the blood (in mg/min) is often well described by the equation $$c(t)=\frac{K}{V} c_{0} e^{-K_{I} / V}$$ where $K$ is the rate of flow of blood through the dialyzer $(\mathrm{in}$$\mathrm{mL} /\mathrm{min} ), V$ is the volume of the patient's blood (in mL) and $c_{0}$ is the amount of urea in the blood (in mg at time $t=0 .$ Evaluate the integral $\int_{0}^{30} c(t) d t$ and interpret it.