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Integral of 1/((x + p) sqrt(x + 1)) by putting x + 1 = t^2

The same question, asked 2 times: 20 Apr 2025 S2*, 12 May 2026 S2. Every wording below, oldest first.

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  1. Question 1

    20 Apr 2025 S2

    121
    ∫03dx(x+2)x+1=\int_{0}^{3} \frac{dx}{(x+ 2)\sqrt{x+ 1}}=

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  2. Question 2

    12 May 2026 S2

    81
    The value of the integral ∫815dx(x−3)x+1\int_8^{15}\dfrac{dx}{(x - 3)\sqrt{x + 1}} is....

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