I am trying to build a rule for manual integration. I want to test whether an expression matches the general form:

c (e + f x)**p

where c, f, and p can be non-zero expressions not containing x, whereas e can be zero but again cannot contain x.

Moreover, if the expressions matches the above form, I would like to parse it such that I know the values for c, e, f, and p.

Any suggestions on general strategies for achieving my goals? I have been thinking about prolific use of func and args. I imagine that I would consider various branches for my test since c = 1, e = 0, f = 1, and p = 1 would all change the class type of the expression or sub-expressions.

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