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I am trying to solve a calculus problem, and do not know quite how to approach it.

I am doing a project on a GPS track, I have mapped out an area with GPS, the GPX file gives speed, lat, long, time and some other data. I am comparing the area under the curve of MPH(Y axis) and Time(hrs X-axis) with the arc length of the traveled path compared to actual distance traveled via car odometer.

I have completed the data gathering, and am having difficulties approaching the graph, and finding the area under the curve to find the distance.

The Graph is attached.

My approaches:

1. Separate the points and find the area under each and every 2 points

Although this would work, it would take me a very long time.

2. Finding lines of best fit, possibly splitting up the graph into multiple sections and finding lines of best fit, but they again, the accuracy would not be the greatest.

3. Using Reimons sum or a modification of it.

Note: Their are 203 points...

Any insight, tips, or suggestions would be extremely helpful.

Thanks

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# GPS, irregular area under graph project

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