[Graphs generated by this script: initPicture(-1,5,-1,5);axes(1,1,1,1,1); line([-1,4.25],[5,2.75]); fill='blue'; path([[1,0],[1,3.75],[3,3.25],[3,0]]);]

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

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

Where:

$\displaystyle {a}=$ , $\displaystyle {b}=$

$\displaystyle {f{{\left({x}\right)}}}$ = Preview Question 6 Part 3 of 4  

$\displaystyle \text{area }\ =$ Preview Question 6 Part 4 of 4