--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)
 
 
 
 


