Definite Integration Question 242
Question: The area of the region bounded by the $ x- $ axis and the curves defined by $ y=\tan x,(-\pi /3\le x\le \pi /3) $ is
[Kurukshetra CEE 1998]
Options:
A) $ \log \sqrt{2} $
B) $ -\log \sqrt{2} $
C) $ 2\log 2 $
D) 0
Show Answer
Answer:
Correct Answer: C
Solution:
Required area $ =2\int_0^{\pi /3}{\tan xdx}=2[\log \sec x]_0^{\pi /3}=2\log (2) $ .
BETA
