Let the area of the region bounded by the curve y= max { sin x, cos x}, lines x=0, x=(3 π)/2, and the x -axis be A. Then, A + A^2 is equal to ____.

Let the area of the region bounded by the curve $\displaystyle y=\max \{\sin x, \cos x\}$, lines $\displaystyle x=0, x=\frac{3 \pi}{2}$, and the $\displaystyle x$-axis be A . Then, $\displaystyle \mathrm{A}+\mathrm{A}^2$ is equal to $\displaystyle \_\_\_\_$.