GSL can't handle really long intervals for integration?

[kcrisman]

f1(x)=1/sqrt(x^3+2)
f2(x)=1/sqrt(x^4+2)
sage: numerical_integral(f2,1,10^8)
(0.8815690504421161, 3.309409685784312e-09)
sage: numerical_integral(f2,1,10^9)
(0.8815690594421439, 2.7280605832086615e-08)
sage: numerical_integral(f2,1,10^10)
(0.8815690603426408, 6.194229607849825e-07)
sage: numerical_integral(f2,1,10^11)
(2.3214916598860602e-07, 4.5569931705290324e-07)

See here for first report.

CC: @sagetrac-jakobkroeker

Component: calculus

Issue created by migration from https://trac.sagemath.org/ticket/16905

[kcrisman]

comment:1

Maxima (the .nintegrate method) seems to have a similar problem.