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Integral of sqrt((a - x)/(a + x)) from 0 to a

The same question, asked 2 times: May 2022 S1*, 12 May 2026 S1. Every wording below, oldest first.

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  1. Question 1

    May 2022 S1

    127
    The value of the integral ∫011−x1+x dx\int_0^1 \sqrt{\frac{1-x}{1+x}}\,dx is

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  2. Question 2

    12 May 2026 S1

    81
    ∫044−x4+x dx=\int_0^4\sqrt{\dfrac{4 - x}{4 + x}}\,dx =

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