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int(-oo)^( oo)int(x^(4)+1)/(x^(2)+1)dx...

int_(-oo)^( oo)int(x^(4)+1)/(x^(2)+1)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)(x^(2)+1)/(x^(4)+7x^(2)+1)dx=

int_(0)^(oo)(x^(2)+1)/(x^(4)+7x^(2)+1)dx=

Evaluate int _(-oo) ^(oo) (1)/(1 + x ^(2)) dx.

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

int_(0)^(oo)(1)/(3+x^(2))dx

int_(3)^(oo)(3)/(x^(2)-1)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