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A comment on The Birth of Calculus (1986) [video]. Parent comment
https://en.wikipedia.org/wiki/Trapezoidal_rule
It's not even a particular good choice for the specific problem (glucose curve) because the trapezoidal rule will systematically underestimate the true area when the curvature is always negative. Simpson's rule is almost always a better choice:
https://en.wikipedia.org/wiki/Simpson%27s_rule
Fun fact: although the method is attributed to the 18th century mathematician Simpson, Kepler is known to have used it in the 17th century.
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https://en.wikipedia.org/wiki/Trapezoidal_rule
It's not even a particular good choice for the specific problem (glucose curve) because the trapezoidal rule will systematically underestimate the true area when the curvature is always negative. Simpson's rule is almost always a better choice:
https://en.wikipedia.org/wiki/Simpson%27s_rule
Fun fact: although the method is attributed to the 18th century mathematician Simpson, Kepler is known to have used it in the 17th century.