Analysis of Numerical Measure and Numerical Integration Based on Measure

Table 3

Errors of integration ∫⁵₁ln(𝑥)𝑑𝑥 by NMI.

n	Errors (𝑘=1)	Errors (𝑘=3)	Errors (𝑘=5)
8	3.0958𝑒−001	1.9666𝑒−005	3.4806𝑒−008
16	9.9805𝑒−002	1.7423𝑒−005	2.5702𝑒−009
32	7.5973𝑒−002	4.3251𝑒−006	2.3129𝑒−010
64	6.4057𝑒−002	5.6059𝑒−007	1.6858𝑒−010
128	2.8068𝑒−002	2.2432𝑒−008	1.6776𝑒−010
256	1.3053𝑒−002	3.5017𝑒−009	1.6779𝑒−010
512	7.9865𝑒−003	5.2533𝑒−010	1.6778𝑒−010