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
