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1.8 Integration

1.8 Integration

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Question 44

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

dVdp=8p3−3p2p2 \frac{dV}{dp} = \frac{8p^3 - 3\sqrt{p}}{2p^2} dpdV​=2p28p3−3p​​

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

[3]
Markscheme

1.8 Integration Questions

  1. A Level
  2. /Maths
  3. /1.8 Integration

160 exam-style questions on WJEC A Level Maths 1.8 Integration, covering 1.8.1 Integration, 1.8.2 Integration, and 1.8.3 Integration. Each one has a worked solution and a mark scheme showing where the marks go.

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