JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int \frac{d x}{5+4 \cos x}=

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Correct option: C

\frac{2}{3} \tan ^{-1}\left(\frac{1}{3} \tan \frac{x}{2}\right)+c

Option C is correct because the integral is solved using the tangent half-angle substitution, resulting in

\frac{2}{3} \tan^{-1}(\frac{1}{3} \tan \frac{x}{2})+c

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