Accuracy of Integral with epsilon

[John Keith]

(10-09-2021 08:47 AM)Thomas Okken Wrote:  It seems what's really being tested here is how the integrator handles the slight noisiness of the function at the low end of the range, when sinh(x) and cosh(x) become large but with opposite signs, so numerical cancellation becomes an issue.

Indeed. Evaluating the integrand numerically, the HP 50g returns 2. for positive values of x but 1.99999690584 for x = -10.