JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

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

equals

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Correct option: C

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

Option C (

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

) is correct because the integral can be simplified using trigonometric identities and the integral of cosecant.

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