DOHC engines generally make more power than equallly equipped SOHC engines. VTEC is another thing. For example:
Civic DX
1.6 SOHC
106 hp
Civic EX
1.6 SOHC VTEC
135 hp
Civic Si
1.6 DOHC VTEC
160 hp
Integra RS, LS, GS
1.8 DOHC
140 hp
Integra GS-R
1.8 DOHC VTEC
170 hp
Basically, 180k is a load of miles and stuff will be going wrong, like JGordon said, but fixing stuff is a great way to learn about fixing stuff.

Hope you have some money saved up for repairs. I'd get it cause there aren't a lot of 5 speed 4 door integras out there and it's a fun car for a little money.