JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

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Application +4 | -1

\int \frac{1}{\cos x+\sqrt{3} \sin x} d x

equals

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Correct option: C

\frac{1}{2} \log \tan \left(\frac{x}{2}+\frac{\pi}{12}\right)+C

Option C,

\frac{1}{2} \log \tan \left(\frac{x}{2}+\frac{\pi}{12}\right)+C

, is correct because rewriting the integrand using trigonometric identities and integrating leads to this result.

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