What is the relationship between the integral of a function and the area under the graph of that function? Not a homework question.
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The integral of a function between two values (from *a* to *b*) will precisely equal the area between the x axis and the graphed line, between the x values of *a* and *b* (where under the curve is “negative” area).
If you’re curious *why* that is, I may have a reasonable explanation.
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