The value of \( \int\{1+2 \tan x(\tan x+\sec x)\}^{1 / 2} d x \) is equal to (A) \( \ell n|\sec ...

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The value of \( \int\{1+2 \tan x(\tan x+\sec x)\}^{1 / 2} d x \) is equal to
(A) \( \ell n|\sec x(\sec x-\tan x)|+C \)
(B) \( \ell n|\operatorname{cosec} x(\sec x+\tan x)|+C \)
\( \mathrm{P} \)
(C) \( \ell n|\sec x(\sec x+\tan x)|+C \)
(D) \( -\ell n|\cos x(\sec x-\tan x)|+C \)
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