> Int[cos[a_.+b_.*x_], x_Symbol] := Sin[a+b*x] / b /; FreeQ[{a, b}, x]
>
> Here *a* and *b* are matched if they do not contain *x*.
>
Well, I'm a bit confused, but I was just considering, when we call an
integration function:
*integrate(expression, x)*
we already know that *x* is the integration symbol, so we don't need to
introduce some kind of WildSymbol or isinstance=[Symbol] to match that
pattern.
assert isinstance(x, Symbol)
a = Wild('a', exclude=[x])
b = Wild('b', exclude=[x])
match_dict = expression.match(cos(a+b*x))
if match_dict:
if set(match_dict.keys()) == set([a, b]):
return sin(match_dict[a]+match_dict[b]*x)
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