Definite Integration Question 176
Question: $ \int _{\pi /6}^{\pi /4}{cosec2xdx=} $
[MNR 1980]
Options:
A) $ \log 3 $
B) $ \log \sqrt{3} $
C) $ \log 9 $
D) None of these
Show Answer
Answer:
Correct Answer: D
Solution:
$ \int _{\pi /6}^{\pi /4}{cosec2xdx}=\frac{1}{2}[\log \tan x] _{\pi /6}^{\pi /4} $
$ =\frac{1}{2}[ \log \tan \frac{\pi }{4}-\log \tan \frac{\pi }{6} ]=\frac{1}{2}\log \sqrt{3} $ .
BETA
