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Integral of 1/(e^x + 1) or 1/(e^x - 1)

The same question, asked 2 times: 23 Apr 2025 S1*, 25 Apr 2025 S1. Every wording below, oldest first.

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  1. Question 1

    23 Apr 2025 S1

    125
    ∫dxex−1=\int\frac{dx}{e^{x}- 1}=

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  2. Question 2

    25 Apr 2025 S1

    111
    ∫1ex+1 dx=\int\frac{1}{e^{x}+ 1}\text{ }dx=

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