The profile of a design for a new architectural feature is defined by the region R R\,R in the xyxyxy-plane such that:
x2−7x+12≤y≤12−2x x^2 - 7x + 12 \le y \le 12 - 2x x2−7x+12≤y≤12−2xIdentify which of the following gives the area of the region RRR.
Select one box:
□∫05(x2−5x) dx\Box \int_{0}^{5} (x^2 - 5x) \, dx□∫05(x2−5x)dx
□∫05(5x−x2) dx\Box \int_{0}^{5} (5x - x^2) \, dx□∫05(5x−x2)dx
□∫05(x2−9x+24) dx\Box \int_{0}^{5} (x^2 - 9x + 24) \, dx□∫05(x2−9x+24)dx
□∫(12−2x) dx−∫(x2−7x+12) dx\Box \int (12 - 2x) \, dx - \int (x^2 - 7x + 12) \, dx□∫(12−2x)dx−∫(x2−7x+12)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.