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Curve of Regression (Part of a Physics Experiment)

I have a defined curve with an associated 2nd order polynomial equation.

I want to understand how to calculate the area under the curve as I have it denoted on the attached pdf file. Also is the integration relative to the x,y limits I have shown.....or is it truly the total area under the curve relative to the x-axis????

Pls show me the steps necessary to perform this integration.


Solution Summary

Area under the curve of regression has been approximated using Integration.