HP 42S, DM 42 Integral

[Albert Chan]

(02-15-2021 02:06 PM)Thomas Okken Wrote:  The problem with that is that you don't know what "tiny" is.

May be we do, if we estimate size of M = ∫(|f(x)|, x= a .. b)

OP example, F = ∫(sin(x), x= 0 .. 2*pi)

M = ∫(|sin(x)|, x= 0 .. 2*pi) = 4. (rough estimate OK)

That meant rounding errors of M might be maximum of 4e-33 (Free-42 Decimal)
x = a + k*h might also generate some errors, so above estimate of 'tiny' is not too bad.

Any estimated |F| below 'tiny' might be considered 0.