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int(0)^(1) ((tan^(-1)x)^(3))/(1+x^(2))dx...

`int_(0)^(1) ((tan^(-1)x)^(3))/(1+x^(2))dx=`

A

`1/4 (pi/12)^(6)`

B

`1/4 (pi/12)^(4)`

C

`1/4 ((pi/4)^(4) - (pi/6)^(4))`

D

`(pi/8)^(4)`

Text Solution

Verified by Experts

The correct Answer is:
C
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