Tag
Integral
Entries tagged integral.
2 entries
Concept
Accumulation and the integral
The definite integral of a varying rate or density over an interval is the limit of a sum of thin slices, each slice's contribution approximated as constant, and it recovers the exact total quantity, distance, mass, or energy, that the varying rate produced.
9 min
ConceptThe fundamental link between change and accumulation
The instantaneous rate at which a quantity changes and the running total of that quantity are two descriptions of one process, and differentiating the total always hands back the rate, while integrating the rate always hands back the total.
7 min