How can I Integrate on an array with respect to another array

2024 3 26
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I want to integrate an array which is, acceleration, with respect to another array, which is time to get velocity, then integrate the velocity array with respect to time again to position. Does anyone know how I can do this? Any help will be appreciated thanks.

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Steven Lord
Steven Lord 2024-3-26

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To integrate data sets use the trapz or cumtrapz functions.
If you had functions to integrate use the integral family of functions.

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Aman Kumar
Aman Kumar 2024-3-26
Both the time and acceleration arrays are functions. Could you explain to me how I would use the integral function to integrate acceleration with respect to time?
Torsten
Torsten 2024-3-26
Before speculating what you mean by "Both the time and acceleration arrays are functions.", you should give us an example.
Aman Kumar
Aman Kumar 2024-3-26
Apologies for the confusion. Time is defined as timeFP1 = FPData1(:,3); which is reading the csv file of Force data 1 and getting the time column. Acceleration is defined as accel1 = (GRF1 / totalMass_kg) - gravity; which is being calculated as Force / Mass - gravity constant. Hope this helps
Steven Lord
Steven Lord 2024-3-26
Ran in:
Ran in:
When I say "data sets" and "functions" I mean variables and function handles.
Integrating data:
x = 1:10;
y = x.^2;
integrateDataSet1 = trapz(x, y)
integrateDataSet1 = 334.5000
integrateDataSet2 = cumtrapz(x, y)
integrateDataSet2 = 1x10
0 2.5000 9.0000 21.5000 42.0000 72.5000 115.0000 171.5000 244.0000 334.5000
Integrating functions:
f = @(x) x.^2;
integrateFunction = integral(f, 1, 10)
integrateFunction = 333

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