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Math Help - Integration problem(simple)

  1. #1
    Member Jones's Avatar
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    Integration problem(simple)

    Hi, how do do if i want to calculate the area limited by three functions.
    Say i have the three funtions Y=x, y=8x and y=1/x^2
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by Jones
    Hi, how do do if i want to calculate the area limited by three functions.
    Say i have the three funtions Y=x, y=8x and y=1/x^2
    You break the range of integration down into regions bounded by only
    two of the curves and a vertical line.

    In the example you give we have:

    <br />
Area=\int_{x=0}^{\frac{1}{\sqrt{2}}} \int_{y=x}^{8x}  \ dy\ dx\ +<br />
       \int_{x=\frac{1}{\sqrt{2}}}^{1} \int_{y=x}^{\frac{1}{\sqrt{x}}}  \ dy\ dx<br />

    RonL
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