A) \[\log 3\]
B) \[\log \sqrt{3}\]
C) \[\log 9\]
D) None of these
Correct Answer: D
Solution :
\[\int_{\pi /6}^{\pi /4}{\text{cosec}\,2x\,dx}=\frac{1}{2}[\log \tan x]_{\pi /6}^{\pi /4}\] \[=\frac{1}{2}\left[ \log \tan \frac{\pi }{4}-\log \tan \frac{\pi }{6} \right]=\frac{1}{2}\log \sqrt{3}\].
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