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Question 177

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]

Integration Questions

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

Practise Edexcel A Level Maths Integration with exam-style questions for A Level Maths. 437 questions covering 11.1 Integrating Standard Functions, 11.2 Integrating f(ax + b), 11.3 Using Trigonometric Identities, 11.4 Reverse Chain Rule, 11.5 Integration by Substitution, 11.6 Integration by Parts, 11.7 Partial Fractions, 11.8 Finding Areas, 11.9 The Trapezium Rule, 11.10 Solving Differential Equations, and 11.11 Modelling with Differential Equations, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank