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Are dual core processors still considered one Integrated Circuit?

If they are integrated onto the same die, sure. If they are implemented as multiple dice in the same package (such as Intel's Core 2 Quad Kentsfield and Pentium D Presler), I suppose you could argue otherwise. But in the sense most people use the term, anything integrated into one package would qualify as an integrated circuit.
 
Definition of Integrated Circuit

In the traditional application of the definition "Integrated Circuit" it would appear that any monolithic chip is an integrated circuit regardless the functionality incorporated onto said monolithic chip (dual-core, quad-core, single-core + memory controller, etc).

Packages incorporating more than one monolithic chip (two individual chips wired together, Pentium Pro w/ cache, Kentsfield, etc) are not considered to be a single integrated circuit.
 
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