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Math Help - Integration in the real world

  1. #1
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    Integration in the real world

    Hi there, I am very un-mathsy and would very much appreciate any assistance you can give me with the following real world problem.
    I am trying to calculate the total value of subsidies that must be used to support the development of certain renewable generating technologies by determining the area under a curve.
    Y = price per unit
    X = number of units
    A subsidy is paid out on each unit where the cost is above $0.075. I.e. the area under the curve is for values of Y above 0.075 only.
    I have determined that the formula for the line is Y=0.095X^-0.074, and the intercepts for X are 1 and 24.
    Can someone please in simple terms explain how I integrate this, keeping in mind that I need to calculate the value under the curve for Y values greater than 0.075..
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by bbromley View Post
    Hi there, I am very un-mathsy and would very much appreciate any assistance you can give me with the following real world problem.
    I am trying to calculate the total value of subsidies that must be used to support the development of certain renewable generating technologies by determining the area under a curve.
    Y = price per unit
    X = number of units
    A subsidy is paid out on each unit where the cost is above $0.075. I.e. the area under the curve is for values of Y above 0.075 only.
    I have determined that the formula for the line is Y=0.095X^-0.074, and the intercepts for X are 1 and 24.
    Can someone please in simple terms explain how I integrate this, keeping in mind that I need to calculate the value under the curve for Y values greater than 0.075..
    Reading your description above my first impression was that the area required
    was that shown shaded in the attached diagram. But on second thoughts I
    think that can't be what you want, so can you provide some clarification.

    RonL
    Attached Thumbnails Attached Thumbnails Integration in the real world-gash.jpg  
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  3. #3
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    Dec 2006
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    Hi Captain, I have attached a simple excel chart and table of data to show what I am trying to calculate. I can use a simple formula in this example, but for some of the curves I am looking at I will have thousands of datapoints, so want to learn how to do it using integration.
    Attached Files Attached Files
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