JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

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

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Correct option: A

x-\log \left[1+\sqrt{1-e^{2 x}}\right]+c

Option A is correct because the integral can be solved by rewriting the integrand and using substitution, leading to the expression

x - \log[1 + \sqrt{1 - e^{2x}}]+c

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