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Math Help - Area between Curves

  1. #1
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    Exclamation 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?
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  2. #2
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    Quote Originally Posted by xwrathbringerx View Post
    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.
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