\[\int_{{}}^{{}}{\frac{dx}{\cos x-\sin x}}\] is equal to [AIEEE 2004]

\[\frac{1}{\sqrt{2}}\log \left| \cot \left( \frac{x}{2} \right)\, \right|+c\]

\[\frac{1}{\sqrt{2}}\log \left| \tan \left( \frac{x}{2}+\frac{3\pi }{8} \right)\, \right|+c\]

\[\frac{1}{\sqrt{2}}\log \left| \tan \left( \frac{x}{2}-\frac{3\pi }{8} \right)\, \right|+c\]

\[\frac{1}{\sqrt{2}}\log \left| \tan \left( \frac{x}{2}-\frac{\pi }{8} \right)\, \right|+c\]

\[\int_{{}}^{{}}{\frac{dx}{\cos x-\sin x}}\] is equal to

1.	\[\int_{{}}^{{}}{\frac{dx}{\cos x-\sin x}}\] is equal to [AIEEE 2004]
A.	\[\frac{1}{\sqrt{2}}\log \left\| \tan \left( \frac{x}{2}+\frac{3\pi }{8} \right)\, \right\|+c\]
B.	\[\frac{1}{\sqrt{2}}\log \left\| \cot \left( \frac{x}{2} \right)\, \right\|+c\]
C.	\[\frac{1}{\sqrt{2}}\log \left\| \tan \left( \frac{x}{2}-\frac{3\pi }{8} \right)\, \right\|+c\]
D.	\[\frac{1}{\sqrt{2}}\log \left\| \tan \left( \frac{x}{2}-\frac{\pi }{8} \right)\, \right\|+c\]
Answer» B. \[\frac{1}{\sqrt{2}}\log \left\| \cot \left( \frac{x}{2} \right)\, \right\|+c\]

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\[\int_{{}}^{{}}{\frac{dx}{\cos x-\sin x}}\] is equal to [AIEEE 2004]

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