Writing a function with two functions as arguments

I am trying to write a function of two functions. A function of one function works as in

h[f___, x_, y_] := Integrate[f, x]
h[x^2 + y, x, y]

and this function of two functions also works

h[f___, g___, x_, y_] := f + g
h[x^2 + y, x^3, x, y]

however, this does not work

h[f___, g___, x_, y_] := Integrate[f, x]
h[x^2 + y, x^3, x, y]

Returning the error msg: “Integrate::argmu: Integrate called with 1 argument; 2 or more arguments are expected”

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It is not clear to me why you are using ___ (BlankNullSequence) at all. It may be simply a misunderstanding, and you can use _ (Blank) instead. Or do you need some kind of optional argument behavior?
– Mr.Wizard♦
Sep 3 ’15 at 20:43

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1 Answer
1

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The reason is that you are using ___ instead of _. ___ is a pattern-matcher which can match zero or more sequences of arguments. In this example, it parses as follows: f = Null, g = Sequence[x^2 + y, x^3], x = x, y = y.

This can be prevented if you use _ instead of ___ throughout.