\( \int e^{x}\left(\frac{2 \tan x}{1+\tan x}+\cot ^{2}\left(x+\frac{\pi}{4}\right)\right) d x \)...
\( \int e^{x}\left(\frac{2 \tan x}{1+\tan x}+\cot ^{2}\left(x+\frac{\pi}{4}\right)\right) d x \) is equal to
(A) \( e^{x} \tan \left(\frac{\pi}{4}-x\right)+c \)
(B) \( e^{x} \tan \left(x-\frac{\pi}{4}\right)+c \)
(C) \( e^{x} \tan \left(\frac{3 \pi}{4}-x\right)+c \)
(D) None of these
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