For the system of linear equations $$\alpha x+y+z=1,x+\alpha y+z=1,x+y+\alpha z=\beta$$, which one of the following statements is NOT correct?

If $$y(x)=x^{x},x > 0$$, then $$y''(2)-2y'(2)$$ is equal to

The value of the integral

$$\int\limits_{ - {\pi \over 4}}^{{\pi \over 4}} {{{x + {\pi \over 4}} \over {2 - \cos 2x}}dx} $$ is :

The area of the region given by $$\{ (x,y):xy \le 8,1 \le y \le {x^2}\} $$ is :