The value of the integral I = int(1//201...

The value of the integral `I = int_(1//2014)^(2014)(tan^(-1) x)/x dx` is

A

(a) `(pi)/4 log2014`

B

(b) `(pi)/2 log 2014`

C

(c) `pi log 2014`

D

(d) `1/2 log 2014`

Verified by Experts

The correct Answer is:

B

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