Let the area bounded by the curve $\mathrm { f } ( \mathrm { x } ) = \max \{ \sin x , \cos x \}$ and x -axis is\ $A$ where $x \in \left[ 0 , \frac { 3 \pi } { 2 } \right]$. Find $A + A ^ { 2 }$
Let the area bounded by the curve $\mathrm { f } ( \mathrm { x } ) = \max \{ \sin x , \cos x \}$ and x -axis is\
$A$ where $x \in \left[ 0 , \frac { 3 \pi } { 2 } \right]$. Find $A + A ^ { 2 }$