1
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
2
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
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