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3.6 Integration (A-level only)

3.6 Integration (A-level only)

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Question 221

The region bounded by y=1xy=\dfrac1xy=x1​, the xxx-axis and the lines x=1x=1x=1 and x=kx=kx=k, where k>1k>1k>1, is rotated through 2π 2\pi\,2π radians about the xxx-axis. The volume formed is 3π4\dfrac{3\pi}{4}43π​ cubic units.

Find kkk.

[5]
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3.6 Integration (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.6 Integration (A-level only)

363 exam-style questions on CCEA A Level Maths 3.6 Integration (A-level only), covering 3.6.1 Integration (A-level only), 3.6.2 Integration (A-level only), 3.6.3 Integration (A-level only), 3.6.4 Integration (A-level only), 3.6.5 Integration (A-level only), 3.6.6 Integration (A-level only), and 3.6.7 Integration (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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