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Integral of |quadratic| by splitting at its roots

This type of question, asked 3 times: 2021 Paper 4, 24 Jan 2023, 12 Apr 2023. All 3 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    2021 Paper 4

    83
    The value of ∫−22∣3x2−3x−6∣dx\int_{- 2}^{2} \left| 3x^{2}- 3x- 6 \right|dx is

  2. Question 2

    24 Jan 2023

    90
    The value of 12∫03∣x2−3x+2∣dx12\int_{0}^{3} \left| x^{2}- 3x + 2 \right|dx is

  3. Question 3

    12 Apr 2023

    89
    If ∫−0.150.15∣100x2−1∣dx=k3000\int_{- 0.15}^{0.15} \left| 100x^{2}- 1 \right|dx =\frac{k}{3000}, then kk is equal to