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indefinite-integration

Question: $\int_{{}}^{{}}{\frac{dx}{\cos x-\sin x}}$ is equal to


1) $\frac{1}{\sqrt{2}}\log \left| \tan \left( \frac{x}{2}+\frac{3\pi }{8} \right)\, \right|+c$
2) $\frac{1}{\sqrt{2}}\log \left| \cot \left( \frac{x}{2} \right)\, \right|+c$
3) $\frac{1}{\sqrt{2}}\log \left| \tan \left( \frac{x}{2}-\frac{3\pi }{8} \right)\, \right|+c$
4) $\frac{1}{\sqrt{2}}\log \left| \tan \left( \frac{x}{2}-\frac{\pi }{8} \right)\, \right|+c$
Solution: Explanation: No Explanation
Integration of rational functions by using partial fractions Evaluation of various forms of integration

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