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That'sThis is exactly what Inactivate iswas designed for:
Inactivate
int = Inactivate[Integrate[x^n/(x + 1)^(n + 1), {x, 0, 1}], Integrate]
int /. n -> 3
(Notice also the light shading of the integral sign and the d to indicate the inactivation)
That's what Inactivate is designed for:
This is exactly what Inactivate was designed for: