JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int\left\{\frac{(1-\cos x)}{[\cos x(1+\cos x)]}\right\} d x=

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Correct option: A

\log (\sec x+\tan x)-2 \tan \left(\frac{x}{2}\right)

Option A is correct because the integral simplifies to

\log(\sec x + \tan x) - 2 \tan(\frac{x}{2})

after using trigonometric identities and partial fractions.

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