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3.6 Integration (A-level only)

3.6 Integration (A-level only)

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Question 164

The cross-section of a parabolic solar concentrator is modeled by the curve with equation

h=23x2+7,x≥0 h = \frac{2}{3}x^2 + 7, \quad x \ge 0 h=32​x2+7,x≥0

where h h\,h is the height in decimetres and x x\,x is the horizontal distance from the vertical axis. The concentrator is capped by a horizontal lid at h=31h = 31h=31. The finite region S S\,S is bounded by the curve, the hhh-axis (x=0x=0x=0), and the lid.

Find the exact area of the region SSS.

[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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