/usr/share/maxima/5.32.1/demo/romberg.dem is in maxima 5.32.1-1.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 | define_variable(pi,apply('ev,[%pi,numer:true]),float)$
define_variable(freq,3.3,float,"the frequency in radians/second")$
v(x):=(modedeclare(x,float),x*abs(sin(freq*x)))$
h1(freq):=romberg('v,0,pi)$
/* an alternative syntax is */
h2(freq):=romberg(x*abs(sin(freq*x)),x,0,pi)$
h1(5.5);
h2(5.5);
translate(h1,v,h2)$
h1(5.5);
h2(5.5);
compile(functions);
h1(5.5);
h2(5.5);
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