Single Option Correct Type Questions \( \int \frac{d x}{\cos (2 x) \cos (4 x)} \) is equal to (a...

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Single Option Correct Type Questions
\( \int \frac{d x}{\cos (2 x) \cos (4 x)} \) is equal to
(a) \( \frac{1}{2 \sqrt{2}} \log \left|\frac{1+\sqrt{2} \sin 2 x}{1-\sqrt{2} \sin 2 x}\right|-\frac{1}{2}(\log |\sec 2 x-\tan 2 x|)+C \)
(b) \( \frac{1}{2 \sqrt{2}} \log \left|\frac{1+\sqrt{2} \sin 2 x}{1+\sqrt{2} \sin x}\right|-\frac{1}{2}(\log |\sec 2 x-\tan 2 x|)+C \)
(c) \( \frac{1}{\sqrt{2}} \log \left|\frac{1+\sqrt{2} \sin 2 x}{1-\sqrt{2} \sin 2 x}\right|-\frac{1}{2}(\log |\sec 2 x-\tan 2 x|)+C \)
(d) None of the above
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