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

The value fo the integral I=int_(0)^(oo)(dx)/((1+x^(2020))(1+x^(2))) is equal to kpi , then the value of 16k is equal to

If the value of the integral I=int_(0)^(1)(dx)/(x+sqrt(1-x^(2))) is equal to (pi)/(k) , then the value of k is equal to

The value of the integral int_(-1)^(1) (x-[2x]) dx,is

The value of the integral int_(1)^(3)|(x-1)(x-2)|dx is

The value of the integral int_(-a)^(a) (xe^(x^(2)))/(1+x^(2))dx is

The value of integral int_(-1)^(1)(|x+2|)/(x+2) dx is

The value of integral int_(-1)^(1) (|x+2|)/(x+2)dx is

The value of the integral int_(-a)^(a)(e^(x))/(1+e^(x))dx is

The value of the integral inte^(x^(2)+(1)/(2))(2x^(2)-(1)/(x)+1)dx is equal to (where C is the constant of integration)

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