`I=int_(0)^(oo)(dx)/(1+e^(x))`

int_(0)^(oo)(1)/(1+e^(x))dx=

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

If I_(1)=int_(0)^(oo) (dx)/(1+x^(4))dx and I_(2)=underset(0)overset(oo)int x^(2)(dx)/(1+x^(4))"then"n (I_(1))/(I_(2))=

int_(0)^(oo)[(2)/(e^(x))]dx=

If I_(1)=int_(0)^(oo) (dx)/(1+x^(4))dx and I_(2)underset(0)overset(oo)int dx"then"n (I_(1))/(I_(2))=

If int_(0)^(oo)(dx)/(e^(x)+e^(-x))=(pi)/(k) then k is equal to

Evaluate int_(0)^(oo)(dx)/(e^(x)+e^(-x))

The value of int_(0)^(oo)(dx)/(1+x^(4)) is (a) same as that of int_(0)^(oo)(x^(2)+1dx)/(1+x) (b) (pi)/(2sqrt(2))( c) same as that of int_(0)^(oo)(x^(2)+1dx)/(1+x^(4))(d)(pi)/(sqrt(2))

If int_(0)^(b)(dx)/(1+x^(2))=int_(b)^( oo)(dx)/(1+x^(2)) , then b=