Let \( g(x) \) be a differentiable function satisfying \( \frac{d}{d x}\{g(x)\}=g(x) \) and \( g....

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Let \( g(x) \) be a differentiable function satisfying
\( \mathrm{P} \)
\( \frac{d}{d x}\{g(x)\}=g(x) \) and \( g(0)=1 \), then
\( \int g(x)\left(\frac{2-\sin 2 x}{1-\cos 2 x}\right) d x \) is equal to
(1) \( g(x) \cot x+C \)
(2) \( -g(x) \cot x+C \)
(3) \( \frac{g(x)}{1-\cos 2 x}+C \)
(4) none of these


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