Accuracy of Integral with epsilon

10082021, 09:57 PM
Post: #1




Accuracy of Integral with epsilon
I was surprised that my TI30X 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 TI30X Pro MathPrint and CASIO fx991X. The CASIO fxCG50 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!


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