The profile of a decorative architectural panel is modeled by a shaded region RRR. This region is defined by the following inequalities involving the vertical height y y\,y and horizontal distance xxx:
x2−8x+24≤y≤24−2x x^2 - 8x + 24 \le y \le 24 - 2x x2−8x+24≤y≤24−2xWhich of the following expressions correctly determines the area of the panel?
Select one box:
□∫06(x2−6x) dx\Box \int_{0}^{6} (x^2 - 6x) \, dx□∫06(x2−6x)dx
□∫06(6x−x2) dx\Box \int_{0}^{6} (6x - x^2) \, dx□∫06(6x−x2)dx
□∫06(x2−10x+48) dx\Box \int_{0}^{6} (x^2 - 10x + 48) \, dx□∫06(x2−10x+48)dx
□∫(24−2x) dx−∫(x2−8x+24) dx\Box \int (24 - 2x) \, dx - \int (x^2 - 8x + 24) \, dx□∫(24−2x)dx−∫(x2−8x+24)dx
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.
