Chapter 7.4, Problem 74E

Sediment The density of sediment (in grams per cubic centimeter) at the bottom of Lake Coeur d’Alene, Idaho, is given by $p(x)=p_0{e}^{0.0133x}$, where $x$ is the depth and $p_0$ is the density at the surface. The total mass of a square-centimeter column of sediment above a depth of $h\text{cm}$ is given by ${\displaystyle \underset{0}{\overset{h}{\int }}p(x)dx}$. If $p_0=0.85{\text{g per cm}}^3$, find the total mass above a depth of $100\text{cm}$.