PYQ Vault
EbooksTutor

Integrals with sqrt(e^x - 1): substitute t = sqrt(e^x - 1)

This type of question, asked 3 times: 9 May 2023 S2, 10 May 2023 S2, 14 May 2026 S1. All 3 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    9 May 2023 S2

    119
    ∫ex−1 dx=\int\sqrt{e^x - 1}\,dx =

    Tap an option to check your answer.

  2. Question 2

    10 May 2023 S2

    128
    If ∫dxex−1=2tan⁡−1(f(x))+c\int \frac{dx}{\sqrt{e^x - 1}} = 2\tan^{-1}(f(x)) + c where x>0x > 0, then f(x)f(x) is

    Tap an option to check your answer.

  3. Question 3

    14 May 2026 S1

    79
    If ∫ex−1 dx=aex−1+btan⁡−1(ex−1)+c\displaystyle\int\sqrt{e^x - 1}\,dx = a\sqrt{e^x - 1} + b\tan^{-1}(\sqrt{e^x - 1}) + c, then

    Tap an option to check your answer.