Mathematics - Area Under Curves Question with Solution | TestHub

For what values of $\mathrm{a}\in [0,1]$ does the area of the figure bounded by the graph of the function $\mathrm{y}=\mathrm{f}(\mathrm{x})$ and the straight lines $\mathrm{x}=0,\mathrm{x}=1\&\mathrm{y}=\mathrm{f}(\mathrm{a})$ is at a minimum \& for what values it is at a maximum if $\mathrm{f}(\mathrm{x})=\sqrt{1-{\mathrm{x}}^2}$. Find also the maximum & the minimum areas.