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
438 exam-style questions on OCR A Level Maths 1.8 Integration, covering 1.8.1 Fundamental theorem of calculus (A-level only), 1.8.2 Integrating x^n, 1.8.3 Integrating standard functions (A-level only), 1.8.4 Evaluating definite integrals, 1.8.5 Area between a curve and the x-axis, 1.8.6 Area between two curves, 1.8.7 Integration as the limit of a sum (A-level only), 1.8.8 Integration by substitution (A-level only), 1.8.9 Integration by parts (A-level only), 1.8.10 Use of partial fractions in integration (A-level only), 1.8.11 Differential equations with separable variables (A-level only), 1.8.12 Interpreting the solution of a differential equation (A-level only), and 1.8 Integration. Each one has a worked solution and a mark scheme showing where the marks go.