Accuracy of Integral with epsilon
10-08-2021, 10:17 PM (This post was last modified: 10-09-2021 12:51 AM by toml_12953.)
Post: #2
 toml_12953 Senior Member Posts: 1,845 Joined: Dec 2013
RE: Accuracy of Integral with epsilon
(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.

Tom L
Cui bono?
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 Messages In This Thread Accuracy of Integral with epsilon - lrdheat - 10-08-2021, 09:57 PM RE: Accuracy of Integral with epsilon - toml_12953 - 10-08-2021 10:17 PM RE: Accuracy of Integral with epsilon - Thomas Okken - 10-08-2021, 10:18 PM RE: Accuracy of Integral with epsilon - toml_12953 - 10-08-2021, 10:28 PM RE: Accuracy of Integral with epsilon - lrdheat - 10-08-2021, 11:28 PM RE: Accuracy of Integral with epsilon - toml_12953 - 10-09-2021, 12:47 AM RE: Accuracy of Integral with epsilon - robve - 10-09-2021, 01:41 AM RE: Accuracy of Integral with epsilon - Valentin Albillo - 10-09-2021, 02:22 AM RE: Accuracy of Integral with epsilon - Paul Dale - 10-09-2021, 02:27 AM RE: Accuracy of Integral with epsilon - Thomas Okken - 10-09-2021, 08:47 AM RE: Accuracy of Integral with epsilon - John Keith - 10-09-2021, 05:40 PM RE: Accuracy of Integral with epsilon - robve - 10-09-2021, 08:37 PM RE: Accuracy of Integral with epsilon - Claudio L. - 10-12-2021, 04:47 PM RE: Accuracy of Integral with epsilon - robve - 10-14-2021, 02:43 AM RE: Accuracy of Integral with epsilon - robve - 10-09-2021, 09:50 PM RE: Accuracy of Integral with epsilon - Albert Chan - 10-10-2021, 11:51 AM RE: Accuracy of Integral with epsilon - robve - 10-10-2021, 02:07 PM RE: Accuracy of Integral with epsilon - robve - 10-09-2021, 02:01 PM RE: Accuracy of Integral with epsilon - lrdheat - 10-09-2021, 03:13 AM RE: Accuracy of Integral with epsilon - toml_12953 - 10-09-2021, 05:44 AM RE: Accuracy of Integral with epsilon - toml_12953 - 10-09-2021, 11:26 AM RE: Accuracy of Integral with epsilon - lrdheat - 10-09-2021, 05:16 AM RE: Accuracy of Integral with epsilon - lrdheat - 10-09-2021, 03:25 PM