The Preamble's first-mentioned purpose of the Constitution, to form a more perfect Union, was likewise subjected to misreading by Anti-Federalists. More perfect may strike modern readers as a solecism or as an ambiguous depiction, for perfect is now regarded as an absolute term.
The definition of intact is something that is  complete and that has not been damaged in any way. An example of intact is a 36-piece set of military figures that has not been broken.
Definition of Integrity: the quality or state of being complete, undivided: spiritual, or aesthetic wholeness: organic unity: completeness. It is a simple thing, wholeness that is undivided.