I have 2 videos of integras. One of an Integra GS-R and one of an Integra Type R. Both are just filming the speedometer and tachometer.
The Type R has redline at 8,400 RPM but can rev up to 9,000 RPM... I've heard some one even revved up one to 9,500 and had no problems.
The GS-R Redline is at 8,100 RPM like Fastback said.

Of what I know is that the GSR and the Type R engines are from the same series but they are different.