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J_power11-Garnet
11-Garnet
February 15, 2025
Solved

Mathcad integrate issue

Dear experts,
I have a dataset, and I need to calculate the areas of four regions within this dataset, as shown in the image.

I would like to use Mathcad's integration function to perform this calculation. How can I apply the integration function to the imported dataset in Mathcad?

J_power_0-1739606947857.png

 

terryhendicottAnswer
21-Topaz II
February 15, 2025

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6 replies

LucMeekes23-Emerald IV
23-Emerald IV
February 15, 2025

I suppose you know, or at least have a way to determine, the range of index for each if the four regions. Then simply sum the numbers over the index range.

If you have a model that predicts the shape of the y values you could try a curve fit of the data with that model, and then use integration over your model function.

 

Success!

Luc

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J_power11-GarnetAuthor
11-Garnet
February 15, 2025

I know the range over which I want to integrate, but I am unsure how to express the imported dataset as a function in Mathcad for integration. How can I define a function based on the imported data and then perform the integration?

J_power_0-1739609033065.png

 

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terryhendicott21-Topaz IIAnswer
21-Topaz II
February 15, 2025

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    Werner_E
    Werner_E25-Diamond I
    25-Diamond I
    February 15, 2025

    To be able to use Mathcad's numerical integration you have to turn your data into a function.

    The easiest way (and I guess its as good as any as long as you don't know which function type to fit) is using linear interpolation:

    Werner_E_0-1739614644864.png

    Werner_E_1-1739615192256.png

     

    Another way is to determine the position of the data in the matrix Po (the indices which relate to the desired limits of the integral) and use the trapezoid rule to calculate the integral.

    Werner_E_0-1739623442832.png

     

    MC15 sheet attached

     

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      J_power11-GarnetAuthor
      11-Garnet
      February 15, 2025

      Thanks.

       

      I know how to do it!

       

       

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