A) \[\frac{\pi }{8}\]
B) \[\infty \]
C) \[1\]
D) \[0\]
Correct Answer: D
Solution :
Let \[I=\int_{0}^{\pi /2}{\log }\,\tan \,x\,dx\] ?.(i) \[\therefore \] \[I=\int_{0}^{\pi /2}{\log \,\,\tan \,\left( \frac{\pi }{2}-x \right)}\,\,dx\] \[\Rightarrow \] \[I=\int_{0}^{\pi /2}{\log \,1\,dx}\] \[\Rightarrow \] \[I=0\]You need to login to perform this action.
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