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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

`(pi)/(4)log2014`

B

`(pi)/(2)log2014`

C

`pilog2014`

D

`(1)/(2)log2014`

Text Solution

Verified by Experts

The correct Answer is:
B
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CHHAYA PUBLICATION-QUESTION PAPER -2018-WBJEE
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