/usr/lib/open-axiom/input/intef2.input is in open-axiom-test 1.5.0~svn3056+ds-1.
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(a*x+b) / (b**2 * x * log(x)**2 + 2*a*b*x**2*log(x) + a**2*x**3 + x)
integrate(%,x)
((exp(x)-x**2+2*x)/(x**2*(exp(x)+x)**2))*exp((x**2-1)/x+1/(exp(x)+x))
integrate(%,x)
-- here is one which does not have an elementary integral
x * cot x
integrate(%,x)
tan x + cos x
integrate(%,x)
-- integrals of hyperb. trigs are transformed back into hyperb. trigs.
cosh(a*x)*sinh(a*x)
integrate(%,x)
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