eli5 why the area under a curve(or any line) is important

Question

eli5 why the area under a curve(or any line) is important

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Answer 1

The integral can tell you a lot of information about whatever you are dealing with. For example if you have a graph that shows an objects speed as a function of time the area under the curve will show how far from an arbitrary point you have traveled for any X value. Basically if a graph measures a change in something than the area under the curve will show the total for any value.