Question

The linear density of a rod of length 4m is given by p(x)+5+4sqrt(x) measured in kilograms per meter, where x is measured in meters from end to end.find the mass.

Answer 1

if m(x) represents the mass of the rod, where x is the length of the rod, then

\[\Large \int p(x)dx = m(x)+C\]

Answer 2

put another way

\[\Large \frac{d}{dx}[m(x)] = \frac{dm}{dx} = p(x)\]

Answer 3

hopefully that's enough to get you started