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
864 exam-style questions on Edexcel A Level Maths Integration, 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. Each one has a worked solution and a mark scheme showing where the marks go.