If \( I=\int \frac{\cos x}{\sin ^{3} x-\cos ^{3} x} d x \), and \( f(x)= \) \( \frac{1}{3} \log ...
If \( I=\int \frac{\cos x}{\sin ^{3} x-\cos ^{3} x} d x \), and \( f(x)= \) \( \frac{1}{3} \log (\tan x-1)+\frac{1}{\sqrt{3}} \tan ^{-1}\left(\frac{2 \tan x+1}{\sqrt{3}}\right), g(x) \) \( =\frac{1}{6} \log \left(\tan ^{2} x+\tan x+1\right) \) then \( I \) equals
(a) \( f(x)-g(x)+C \)
(b) \( f(x) g(x)+C \)
(c) \( f(x) / g(x)+C \)
(d) \( f(x)+g(x)+C \)
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