/usr/lib/open-axiom/input/intef.input is in open-axiom-test 1.5.0~svn3056+ds-1.
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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 30 31 32 33 34 35 | --Copyright The Numerical Algorithms Group Limited 1993.
------------------------------ intef.input --------------------------------
)clear all
(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 are three which do not have elementary integrals
sin(x)/x
integrate(%,x)
x * cot x
integrate(%,x)
(2 * log(x)**2 - log x - x**2) / (log(x)**3 - x**2 * log x)
integrate(%,x)
-- real trigonometric functions are handled directly
cos(a * x) / (1 + cos(a * x))
integrate(%,x)
cos(3*x)*sin(2*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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