JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

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

is equal to

View answer and explanation

Correct option: A

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

Option A (

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

) is correct because it is the result of integrating the given expression using trigonometric identities and substitution.

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