The value of \( \int \frac{\cos x}{\sin ^{2} x(\sin x+\cos x)} d x ...

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The value of \( \int \frac{\cos x}{\sin ^{2} x(\sin x+\cos x)} d x \) is equal to
\( \mathrm{P}^{110} \)
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(1) \( \log \left|\frac{1+\tan x}{\tan x}\right|-\cot x+C \)
(2) \( \log \left|\frac{\tan x}{1+\tan x}\right|+C \)
(3) \( \log \left|\frac{\tan x}{1+\tan x}\right|-\tan x+C \)
(4) \( \log \left|\frac{\tan x}{1+\tan x}\right|+\cot x+C \)
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