Question: how to see it or how can i see it

is this identity true (i believe it is)?

 

p*int(f,x=0..infinity) = sum ((int(f,x=n..n+p)),n=0..n+p) + sum((p-n)*(int(f,x=n-1..n)),n=1...p-1)

 

p*(int(f(x), x = 0 .. infinity)) = sum(int(f(x), x = n .. n+p), n = 0 .. n+p)+sum((p-n)*(int(f(x), x = n-1 .. n)), n = 1 .. p-1)

 

If it is true how we understand it, and understand it through Maple.

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