1. ## Area between Curves

Show, by integration, that the area of a unit square is divided into four equal parts by the curves y = x^3, y = sqrt(x) and y = x.

Could someone please show me how to set this proof out correctly?</SPAN> Do I actually have to find all 4 areas or something?

2. Originally Posted by xwrathbringerx
Show, by integration, that the area of a unit square is divided into four equal parts by the curves y = x^3, y = sqrt(x) and y = x.

Could someone please show me how to set this proof out correctly?</SPAN> Do I actually have to find all 4 areas or something?
You'd have to show that the area formed by these curves $= \frac{1}{4}\,\textrm{unit}^2$.