An architectural feature for a new gallery is designed with a side profile following the curve y=32x3y = \frac{3}{2}x^3y=23x3. To calculate the volume of concrete required, an engineer first determines the total cross-sectional area between the curve and the xxx-axis for two distinct sections:
Section A is bounded by the curve, the xxx-axis, and the vertical lines x=−3x = -3x=−3 and x=−1x = -1x=−1.
Section B is bounded by the curve, the xxx-axis, and the vertical lines x=2x = 2x=2 and x=4x = 4x=4.
Calculate the total area of these two sections.
Practise Edexcel A Level Maths 11.8 Finding Areas with exam-style questions for A Level Maths. 28 questions, 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.
