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1.8 Integration

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Question 14

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]
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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