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Integral of a linear expression over a linear expression

This type of question, asked 2 times: 11 Apr 2026 S1, 13 May 2026 S2. All 2 questions below, oldest first.

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  1. Question 1

    11 Apr 2026 S1

    80
    ∫xx+2 dx\displaystyle\int\dfrac{x}{x + 2}\,dx is equal to

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  2. Question 2

    13 May 2026 S2

    80
    ∫4x+52x+1 dx=\displaystyle\int\dfrac{4x + 5}{2x + 1}\,dx =

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