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The shaded region, shown in the diagram below, is defined by $x^2 - 7x + 7 \leq y \leq T - 2x.$ Identify which of the following gives the area of the shaded region: Tick (\checkmark) one box - AQA - A-Level Maths Pure - Question 2 - 2022 - Paper 3
Question 2
The shaded region, shown in the diagram below, is defined by $x^2 - 7x + 7 \leq y \leq T - 2x.$ Identify which of the following gives the area of the shaded region: ... show full transcript
Worked Solution & Example Answer:The shaded region, shown in the diagram below, is defined by $x^2 - 7x + 7 \leq y \leq T - 2x.$ Identify which of the following gives the area of the shaded region: Tick (\checkmark) one box - AQA - A-Level Maths Pure - Question 2 - 2022 - Paper 3
Step 1
Identify which of the following gives the area of the shaded region:
Answer
The area of the shaded region is defined by the difference between the upper curve and the lower curve from the bounds of integration. In this case, the expression that correctly represents the area is:
This expression calculates the area between the lines and the curves represented by the functions on the defined interval.