int(-2)^(1) cot^(-1) (1/x) dx =...

`int_(-2)^(1) cot^(-1) (1/x) dx =`

A

`(9pi)/2+ 2 tan^(-1) 2-1/5 log (5/2)`

B

`pi/4- 2 tan^(-1) 2+ 1/2 log (5/2)`

C

`(9pi)/2- 2 tan^(-1) 2+1/5 log (5/2)`

D

`pi/4+ 2 tan^(-1) 2- 1/2 log (5/2)`

Text Solution

Verified by Experts

The correct Answer is:

C

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