The shaded region, shown in the diagram below, is defined by
$x^2 - 7x + 7 \, \leq \, y \, \leq \, T - 2x$ - 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 sha... show full transcript
Worked Solution & Example Answer:The shaded region, shown in the diagram below, is defined by
$x^2 - 7x + 7 \, \leq \, y \, \leq \, T - 2x$ - AQA - A-Level Maths Pure - Question 2 - 2022 - Paper 3
Step 1
Identify which of the following gives the area of the shaded region:
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Answer
The correct expression for the area of the shaded region is given by the integral:
∫05(5x−x2)dx. This choice represents the area between the curve defined by y=5x−x2 and the x-axis from x = 0 to x = 5.
