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

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

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If int_(0)^(1) cot^(-1)(1-x-x^(2))dx=k int_(0)^(1) tan^(-1)x dx , then k=