Accuracy of Integral with epsilon

[toml_12953]

(10-08-2021 09:57 PM)lrdheat Wrote:  I was surprised that my TI-30X Pro MathPrint came up with a more accurate solution to the integral (2*e^x)/(cosh (x) + sinh (x)) from -10 to 10 using an epsilon of 10^-4 or greater. I was naively thinking that the stock epsilon of 10^-5 or smaller would yield a more accurate result. The actual answer is 40. My TI cx ii was accurate to 5 digits as is the TI-30X Pro MathPrint and CASIO fx-991X. The CASIO fx-CG50 is accurate to 6 digits, the HP Prime in home mode thought about it a bit, and was accurate to 7 digits. The WP 34S on my SwissMicros in double precision quickly produced an answer accurate to 27 digits!

I don't understand what you mean about Prime being accurate to 7 digits. I get 40 exactly on Prime in home mode.