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 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.
