If \( \int e^{x}\left(\frac{1-\sin x}{1-\cos x}\right) d x=f(x)+ \)...

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If \( \int e^{x}\left(\frac{1-\sin x}{1-\cos x}\right) d x=f(x)+ \) constant, then \( f(x) \) is
\( \mathrm{P}^{\prime \prime} \)
W equal to
(1) \( e^{x} \cot \left(\frac{x}{2}\right)+C \)
(2) \( e^{-x} \cot \left(\frac{x}{2}\right)+C \)
(3) \( -e^{x} \cot \left(\frac{x}{2}\right)+C \)
(4) \( -e^{-x} \cot \left(\frac{x}{2}\right)+C \)
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