The value of the integral `int(1+x^(2))/(1+x^(4))dx` is equal to

By Simpson rule taking n=4, the value of the integral int _(0)^(1)(1)/(1+x^(2))dx is equal to

The value of the integral int_(0)^(oo)(1)/(1+x^(4))dx is

int_(0)^( If )(f(t))dt=x+int_(x)^(1)(t^(2)*f(t))dt+(pi)/(4)-1 then the value of the integral int_(-1)^(1)(f(x))dx is equal to

If int_0^x(f(t))dt=x+int_x^1(t^2.f(t))dt+pi/4-1 , then the value of the integral int_-1^1(f(x))dx is equal to

The value of the integral int (dx)/(x (1 + log x)^(2)) is equal to

The value of the integral int_(-2)^(2)(1+2sin x)e^(|x|)dx is equal to

The value of the integral int_(0)^(4)(x^(2))/(x^(2)-4x+8)dx is equal to

The value of the integral int_(0)^(4)(x^(2))/(x^(2)-4x+8)dx is equal to

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

Let [x] denote the greatest integer less than or equal to x, then the value of the integral int_(-1)^(1)(|x|-2[x])dx is equal to