1.8.2 Integrating x^n

A laboratory technician models the rate of change of the volume, $V$ , of a liquid in a cooling system. The model used is

\frac{dV}{dt} = \frac{5t^2 + 4}{6t^3}, \quad t > 0

where $t$ is the time in hours. Determine the general expression for $V$ in terms of $t$ , giving your answer in simplest form.

[4]

A laboratory technician models the rate of change of the volume, $V$ , of a liquid in a cooling system. The model used is

\frac{dV}{dt} = \frac{5t^2 + 4}{6t^3}, \quad t > 0

where $t$ is the time in hours. Determine the general expression for $V$ in terms of $t$ , giving your answer in simplest form.

[4]

1.8.2 Integrating x^n Questions