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
Practise AQA A Level Maths 1.11 H: Integration with exam-style questions for A Level Maths. 436 questions covering 1.11.1 Fundamental Theorem of Calculus, 1.11.2 Integrating standard functions, 1.11.3 Definite integrals and areas, 1.11.4 Integration as the limit of a sum (A-level only), 1.11.5 Integration by substitution and by parts (A-level only), 1.11.6 Integration using partial fractions (A-level only), 1.11.7 Differential equations with separable variables (A-level only), and 1.11.8 Interpreting solutions of differential equations (A-level only), matched to the AQA A Level Maths (7357) 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.
