\( \int \frac{1-\cos x}{\cos x(1+\cos x)} d x \) is equal to....
\( \int \frac{1-\cos x}{\cos x(1+\cos x)} d x \) is equal to
\( \mathrm{P} \)
(1) \( \log _{e}|\sec x+\tan x|-2 \tan \frac{x}{2}+c \)
(2) \( \log _{e}\left|\tan \frac{x}{2}\right|-2(\sec x+\tan x)+c \)
(3) \( -2 \tan \frac{x}{2}+\log _{e}\left|\tan \left(\frac{\pi}{4}+\frac{x}{2}\right)\right|+c \)
(4) \( 2 \tan \frac{x}{2}+\log _{e}\left|\tan \left(\frac{\pi}{4}-\frac{x}{2}\right)\right|+c \)
.
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