I have a function showing the volume of water in a bay at different times in the day, and I want to know what the area under this curve would represent (if it represents anything meaningful). I know how to integrate, so that isn't a problem.
I am familiar with physics graphs; I know that the area under an acceleration-time graph gives the change in velocity and the area under a velocity-time graph gives the total distance. However, I am unsure how this would work with volume vs time.
The Attempt at a Solution
My first thought was that the area represents the total volume of water over the full time period, but that doesn't seem to fit with the pattern since the area under a velocity-time graph, for example, gives the total distance and not the change in velocity.