[Graphs generated by this script: initPicture(-1,6,-1,6);axes(1,1,1,1,1); line([-1,5],[5,-1]); fill='blue'; path([[1,0],[1,3],[3,1],[3,0]]);]

To find the blue shaded area above, we would calculate:

abf(x)dx=area\displaystyle {\int_{{a}}^{{b}}}{f{{\left({x}\right)}}}{\left.{d}{x}\right.}=\text{area}

Where:

a = , b =

f(x) =  

Area =