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

• Correct answer
  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

  $2 \operatorname{Cosec}^{-1}\left(\sqrt{2 e^x-1}\right)+c$

Hence, the correct answer is option: 'A'.