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

int_(0)^(oo)(sin(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

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

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

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

Prove that int_(0)^(oo) (sin^(2)x)/(x^(2))dx=int_(0)^(oo) (sinx)/x dx

Prove that int_(0)^(oo) (sin^(2)x)/(x^(2))dx=int_(0)^(oo) (sinx)/x dx

Prove that int_(0)^(oo) (sin^(2)x)/(x^(2))dx=int_(0)^(oo) (sinx)x dx

Prove that int_(0)^(oo) (sin^(2)x)/(x^(2))dx=int_(0)^(oo) (sinx)x dx

int_(0)^(oo)(sin^(2)x)/(x^(2))dx must be same as int_(0)^(oo)(sin x)/(x)dx (b) (int_(0)^(oo)(sin x)/(x))^(2)int_(0)^(2)(cos^(2)x)/(x^(2))(d) none of these