`int_0^oo(1/(x^2+1))`dx

int_0^oo 1/(1+x^2)dx is equal to :

int_0^oo ((x^2+1)dx)/(x^4-x^2+1)

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

The value of the integral int _0^oo 1/(1+x^4)dx is

Evaluate: int_0^oo(dx)/(1+x^2)

Evaluate: int_0^oo(dx)/(1+x^2)

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

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)/(2sqrt2) (c) same as that of int_0^oo (x^2+1dx)/(1+x^4) (d) pi/sqrt2

If P=int_0^oo(x^2)/(1+x^4)dx ; Q=int_0^oo(x dx)/(1+x^4)"and"R=int_0^oo(dx)/(1+x^4), then prove that :