Consider the blue shaded region bounded above by $~f(x)=x~$ and below by $~g(x)=\sin x~$ for $~x~$ between $~0~$ and $~\pi~$ shown below. It is known that $~g(x)\le f(x)~$ for all $~x\in[0,\pi]\,$.  **What is the area of the blue shaded region?** [[☃ expression 1]]