Comment #3 on issue 1133 by asmeurer:
integrate(exp(x)*cos(a+b*x)*sin(c+d*x), x) fails
http://code.google.com/p/sympy/issues/detail?id=1133
It works now:
integrate(exp(x)*cos(a+b*x)*sin(c+d*x), x)
cos(a + b*x)*exp(x)*sin(c + d*x)/(1 + 2*b**2 + 2*d**2 - 2*b**2*d**2 + b**4
+ d**4) + b*exp(x)*sin(c +
d*x)*sin(a + b*x)/(1 + 2*b**2 + 2*d**2 - 2*b**2*d**2 + b**4 + d**4) +
b**2*cos(a + b*x)*exp(x)*sin(c +
d*x)/(1 + 2*b**2 + 2*d**2 - 2*b**2*d**2 + b**4 + d**4) + b**3*exp(x)*sin(c
+ d*x)*sin(a + b*x)/(1 + 2*b**2 +
2*d**2 - 2*b**2*d**2 + b**4 + d**4) + d**2*cos(a + b*x)*exp(x)*sin(c +
d*x)/(1 + 2*b**2 + 2*d**2 -
2*b**2*d**2 + b**4 + d**4) - b*d**2*exp(x)*sin(c + d*x)*sin(a + b*x)/(1 +
2*b**2 + 2*d**2 - 2*b**2*d**2 +
b**4 + d**4) - 2*b*d*cos(c + d*x)*exp(x)*sin(a + b*x)/(1 + 2*b**2 + 2*d**2
- 2*b**2*d**2 + b**4 + d**4) -
d*cos(c + d*x)*cos(a + b*x)*exp(x)/(1 + 2*b**2 + 2*d**2 - 2*b**2*d**2 +
b**4 + d**4) - d**3*cos(c +
d*x)*cos(a + b*x)*exp(x)/(1 + 2*b**2 + 2*d**2 - 2*b**2*d**2 + b**4 + d**4)
+ d*b**2*cos(c + d*x)*cos(a +
b*x)*exp(x)/(1 + 2*b**2 + 2*d**2 - 2*b**2*d**2 + b**4 + d**4)
Unfortunately, it is rather slow to compute, so I can add a test for it,
but I will have to skip it for now. We may
want to add this integral to the special cases in
sympy/integrals/trigonometry.py.
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