Integration: TI-86 & Casio Algebra 2.0 Plus

[Albert Chan]

(03-28-2024 07:03 PM)Albert Chan Wrote:  We would really like bell shaped, for efficient integration.

This is the idea behind Tanh-sinh quadrature
Transform integrand to bell-shaped, then sum rectangle areas.

Cas> N := 0
Cas> f(x) := BEGIN N+=1; atan(atanh(x))/x-1; END
Cas> quad(f, 0, 1)

2.57605109313e-2, 4.33754153356e-9

Cas> Ans[1]+1, N

1.02576051093, 30