1.8.2 Integrating x^n

A marine biologist models the rate of change of nutrient density $D$ with respect to the depth $h$ (in meters) of a water column as:

\frac{dD}{dh} = \frac{7h^5 - 4}{14h^6}, \quad h > 0

Find an expression for $D$ in terms of $h$ , giving your answer in its simplest form.

[4]

A marine biologist models the rate of change of nutrient density $D$ with respect to the depth $h$ (in meters) of a water column as:

\frac{dD}{dh} = \frac{7h^5 - 4}{14h^6}, \quad h > 0

Find an expression for $D$ in terms of $h$ , giving your answer in its simplest form.

[4]

1.8.2 Integrating x^n Questions