JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int \frac{d x}{\sqrt{1-\tan ^2 x}}=\frac{1}{\lambda} \sin ^{-1}(\lambda \sin x)+C

, then

\lambda=

View answer and explanation

Correct option: A

\sqrt{2}

Option A (

\sqrt{2}

) is correct because by manipulating the integrand and using a trigonometric substitution, the integral can be solved, revealing that

\lambda = \sqrt{2}

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