1.8.2 Integrating x^n

A prototype high-pressure vessel's volume $V\,$ changes with respect to the internal pressure $p$ (where $p > 0$ ) according to the rate:

\frac{dV}{dp} = \frac{8p^3 - 3\sqrt{p}}{2p^2}

Determine the general expression for $V\,$ in terms of $p$ , giving your answer in its simplest form.

[3]

A prototype high-pressure vessel's volume $V\,$ changes with respect to the internal pressure $p$ (where $p > 0$ ) according to the rate:

\frac{dV}{dp} = \frac{8p^3 - 3\sqrt{p}}{2p^2}

Determine the general expression for $V\,$ in terms of $p$ , giving your answer in its simplest form.

[3]

1.8.2 Integrating x^n Questions