JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

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

View answer and explanation

Correct option: B

-\cos ^{-1}\left(e^x\right)+c

Option B (

-\cos ^{-1}\left(e^x\right)+c

) is correct because it is the result of a u-substitution and applying the standard integral of

\frac{1}{\sqrt{1-t^2}}

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