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Area of the region xy <= k, 1 <= y <= x^2

The same question, asked 3 times: 1 Feb 2023*, 28 Jan 2026 S1*, 5 Apr 2026 S1. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    1 Feb 2023

    157
    The area of the region given by {(x,y):xy≤8,1≤y≤x2}\left\{ (x,y):xy \leq 8,1 \leq y \leq x^{2} \right\} is :

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  2. Question 2

    28 Jan 2026 S1

    63
    The area of the region R={(x,y):xy≤8,1≤y≤x2,x≥0}R=\left\{ (x,y):xy\leq 8,1 \leq y\leq x^{2},x\geq 0 \right\} is

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  3. Question 3

    5 Apr 2026 S1

    66
    The area of the region R={(x,y):xy≤27,1≤y≤x2}R =\left\{ (x,y):xy \leq 27,1 \leq y \leq x^{2} \right\} is equal to :

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