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Integral of |ax - b| over an interval

The same question, asked 3 times: 12 May 2024 S1*, 18 Apr 2026 S2*, 19 Apr 2026 S2. Every wording below, oldest first.

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  1. Question 1

    12 May 2024 S1

    145
    ∫04∣2x−5∣ dx=\displaystyle\int_{0}^{4}|2x-5|\,dx=

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  2. Question 2

    18 Apr 2026 S2

    81
    ∫02∣4x−5∣ dx=…\int_0^2|4x - 5|\,dx = \ldots

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  3. Question 3

    19 Apr 2026 S2

    79
    If f(x)=∣5x−3∣f(x) = |5x - 3| is defined on interval [0,1][0, 1], then the value of ∫01f(x) dx\int_0^1 f(x)\,dx is...

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