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int(0)^(1)((cot^(-1)x)^(2))/(1+x^(2))dx=...

`int_(0)^(1)((cot^(-1)x)^(2))/(1+x^(2))dx=`

A

`(pi^(3))/(8)`

B

`(pi^(3))/(64)`

C

`(7pi^(3))/(192)`

D

`(pi^(3))/(192)`

Text Solution

Verified by Experts

The correct Answer is:
C
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