\(\int \frac{dx}{\cos x-\sin x}\) is equal to

\(\frac{1}{\sqrt{2}}\log \left|\tan \left(\frac{x}{2}-\frac{\pi}{8}\right)\right|+C\) \(\frac{1}{2}\log \left|\cot \left(\frac{x}{2}\right)\right|+C\) \(\frac{1}{\sqrt{2}}\log \left|\tan \left(\frac{x}{2}-\frac{3\pi}{8}\right)\right|+C\) \(\frac{1}{\sqrt{2}}\log \left|\tan \left(\frac{x}{2}+\frac{3\pi}{8}\right)\right|+C\)

\(\frac{1}{\sqrt{2}}\log \left|\tan \left(\frac{x}{2}+\frac{3\pi}{8}\right)\right|+C\)

\(\cos x-\sin x=\sqrt{2}\left(\cos x \cos \frac{\pi}{4}-\sin x\sin \frac{\pi}{4}\right)\)