∫ 2 e x − 1 d x =

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Question: Answered & Verified by Expert

$\int \frac{d x}{\sqrt{2 e^x-1}}=$

MathematicsIndefinite IntegrationAP EAMCETAP EAMCET 2020 (07 Oct Special)

Options:

A $2 \operatorname{Tan}^{-1}\left(\sqrt{2 e^x-1}\right)+c$
B $2 \operatorname{Sin}^{-1}\left(\sqrt{2 e^x-1}\right)+c$
C $2 \cos ^{-1}\left(\sqrt{2 e^x-1}\right)+c$
D $2 \operatorname{Cosec}^{-1}\left(\sqrt{2 e^x-1}\right)+c$

Solution:

2918 Upvotes Verified Answer

The correct answer is: $2 \operatorname{Tan}^{-1}\left(\sqrt{2 e^x-1}\right)+c$

No solution. Refer to answer key.

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