I suggest you get rid of all factors not dependent on x by scanning through 
each term in a product, if you have a product.
then you need only find if the expression is R= (e+f*x)^p.
compute t A= taylor series expansion around 0 of R and B=taylor series of 
diff(R,x).

Some algebra should get you e,f,p, if you had some R  of that form.  check 
by substitution.

Just a suggestion.

RJF



On Thursday, May 5, 2016 at 7:01:41 AM UTC-7, Alexander Lindsay wrote:
>
> 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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