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

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

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STATEMENT-1 : int_(0)^(oo)(dx)/(1+e^(x))=ln2-1 STATEMENT-2 : int_(0)^(oo)(sin(tan^(-1)))/(1+x^(2))dx=pi STATEMENT-3 : int_(0)^(pi^(2)//4)(sinsqrt(x))/(sqrt(x))dx=1

STATEMENT-1 : int_(0)^(oo)(dx)/(1+e^(x))=ln2-1 STATEMENT-2 : int_(0)^(oo)(sin(tan^(-1)))/(1+x^(2))dx=pi STATEMENT-3 : int_(0)^(pi^(2)//4)(sinsqrt(x))/(sqrt(x))dx=1

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Evaluate : int_(0)^(oo)(cot^(-1)x)^(2)dx

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

int_(0)^(1)x(tan^(-1)x)^(2)dx