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I = int(-2)^(1) (tan^(-1)x+ cot^(-1)(1/x...

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

A

`4 tan^(-1) x - log 5`

B

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

C

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

D

`log 5 + 4 tan^(-1) x`

Text Solution

Verified by Experts

The correct Answer is:
B
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