question_answer

The resistance of a wire is\[\int_{\sqrt{2}}^{x}{\frac{dt}{t\sqrt{{{t}^{2}}-1}}}=\pi /2\]at\[\pi \]and \[\sqrt{3}/2\],at\[2\sqrt{2}\] The resistance of the wire at \[\int{\frac{dx}{\cos x+\sqrt{3}\sin x}}\] will be                    [AIEEE 2007]

A) \[\frac{1}{2}\log \tan \left( \frac{x}{2}+\frac{\pi }{12} \right)+C\]

B) \[\frac{1}{2}\log \tan \left( \frac{x}{2}-\frac{\pi }{12} \right)+C\]

C) \[\log \tan \left( \frac{x}{2}+\frac{\pi }{12} \right)+C\]

D) \[\log \tan \left( \frac{x}{2}-\frac{\pi }{12} \right)+C\]