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1.7 Integration

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Question 35

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]

Markscheme

1.7 Integration Questions

A Level
Maths
1.7 Integration

133 exam-style questions on CCEA A Level Maths 1.7 Integration, covering 1.7.1 Integration, 1.7.2 Integration, and 1.7.3 Integration. Each one has a worked solution and a mark scheme showing where the marks go.

1.7 Integration

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1.7 Integration

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Question 35

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]

Markscheme

1.7 Integration Questions

A Level
Maths
1.7 Integration