# Math 22 The Area of a Region Bounded by Two Graphs

 If ${\displaystyle f}$ and ${\displaystyle g}$ are continuous on ${\displaystyle [a,b]}$ and ${\displaystyle g(x)\leq f(x)}$ for all ${\displaystyle x}$ in ${\displaystyle [a,b]}$, then the area of the region bounded by the graphs of ${\displaystyle f,g,x=a,x=b}$ given by
${\displaystyle A=\int _{a}^{b}[f(x)-g(x)]dx}$