Definite Integration Question 495
Question: $ \int_0^{\pi /2}{\frac{1}{1+\sqrt{\tan x}}}dx= $
[RPET 1995; Kurukshetra CEE 1998]
Options:
A) $ \frac{\pi }{2} $
B) $ \frac{\pi }{4} $
C) $ \frac{\pi }{6} $
D) 1
Show Answer
Answer:
Correct Answer: B
Solution:
$ \int_0^{\pi /2}{\frac{1}{1+\sqrt{\tan x}}dx=\int_0^{\pi /2}{\frac{\sqrt{\cos x}}{\sqrt{\cos x}+\sqrt{\sin x}}dx=\frac{\pi }{4}}} $ .
BETA
