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If 2int0^1 tan^(-1)x dx= int0^1 cot^(-1)...

If `2int_0^1 tan^(-1)x dx= int_0^1 cot^(-1)(1-x+x^2) dx` then `int_0^1 tan^(-1)(1-x+x^2) dx=`

A

`pi/2 + log 2`

B

`log 2`

C

`pi/2 - log 4`

D

`log 4`

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Verified by Experts

The correct Answer is:
B
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