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Integrate : int "tan"^(-1)(2x)/(1-x^(2...

Integrate :
`int "tan"^(-1)(2x)/(1-x^(2))dx(-1 lt x lt 1)`

Text Solution

Verified by Experts

The correct Answer is:
`2x tan^(-1)x-log|1+x^(2)|+c`
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int_(0)^(1)"tan"^(-1)(2x-1)/(1+x-x^(2))dx