Calculates a table of the successive integral estimates of the given function f(x) over the interval (a,b) by increasing partitions from n to n+9 using Tanh-Sinh method.
|Interval (-∞, ∞) can approximate by (-ta, ta), since f(g(t))g'(t) converges rapidly to zero.|
Setup "auto" uses ta=(digit+1)^0.46. [example ta=3.5(14digit), 4.9(30digit)]
It is calculated by increasing the number of partitions from n to n+9.
|This method is suitable for the function with endpoint singularities (±∞).|
The integrand f(x) is assumed to be analytic and non-periodic.