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Q.∫dxe2x−1\int \dfrac{dx}{\sqrt{e^{2x} - 1}} equals

a
tan⁡−1(ex)+C\tan^{-1}(e^x) + C
b
ln⁡∣ex+e2x−1∣+C\ln|e^x + \sqrt{e^{2x} - 1}| + C
c
sin⁡−1(ex)+C\sin^{-1}(e^x) + C
d
cosh⁡−1(ex)+C\cosh^{-1}(e^x) + C

Correct Answer: Option B

The correct solution involves applying the fundamental concept to derive the final value step by step...

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