1
BITSAT 2024
MCQ (Single Correct Answer)
+3
-1
The value of definite integral $ \int_{0}^{\pi / 2} \log (\tan x) d x $ is .
A
0
B
$ \frac{\pi}{4} $
C
$ \frac{\pi}{2} $
D
$ \pi $
2
BITSAT 2021
MCQ (Single Correct Answer)
+3
-1

$$\int\limits_0^1 {{{\log (1 + x)} \over {1 + {x^2}}}dx} $$ is equal to :

A
$${\pi \over 8}\log 2$$
B
$${\pi \over 8}\log {1 \over 2}$$
C
$${\pi \over 4}\log 2$$
D
None of these
3
BITSAT 2020
MCQ (Single Correct Answer)
+3
-1

The value of the definite integral $$\int\limits_0^{\pi /2} {{{dx} \over {\tan x + \cot x + \cos ec\,x + \sec x}}} $$

A
$$1 - {\pi \over 4}$$
B
$$1 + {\pi \over 4}$$
C
$$\pi + {1 \over 4}$$
D
None of these
BITSAT Subjects
EXAM MAP