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Area between a V-shaped graph y = |x - a| and a parabola

This type of question, asked 3 times: 24 Jan 2025, 3 Apr 2025, 4 Apr 2025. All 3 questions below, oldest first.

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  1. Question 1

    24 Jan 2025

    63
    The area of the region {(x,y):x2+4x+2≤y≤∣x+2∣}\left\{ (x,y):x^{2}+ 4x + 2 \leq y \leq |x + 2| \right\} is equal to

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  2. Question 2

    3 Apr 2025

    136
    The area of the region {(x,y):∣x−y∣≤y≤4x}\{(x,y):|x-y| \leq y\leq 4\sqrt{x}\} is.

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  3. Question 3

    4 Apr 2025

    71
    If the area of the region {(x,y):∣x−5∣≤y≤4x}\{(x,y):|x - 5| \leq y \leq 4\sqrt{x}\} is A , then 3 A is equal to.