Find the values of `a` if `f(x)=2e^x-a e^(-x)+(2a+1)x-3` is increasing for all values of `xdot`

Find the value of int_(1/2)^(2)e^(|x-1/x|)dx .

Find the value of a in order that f(x)=sqrt(3)sinx-cosx-2a x+b decreases for all real values of xdot

The value of int_(0)^(oo) e^(-3x) x^(2) dx is

Find all the possible values of f(x) =(1-x^2)/(x^2+3)

Find the possible values of a such that f(x)=e^(2x)-(a+1)e^x+2x is monotonically increasing for x in Rdot

H(x) increase as f(x) decreases for all real values of x if

Find the value of x for which A= [(e^(2x+1),e^(x-2)),(e^(2-x),e^(x-7))] is singular:

Show that the function given by f (x) = e ^(2x) is increasing on R.

Find the value of a for which f(x)={x^2,x in Q x+a ,x !in Q is not continuous at any xdot