You should have just asked for the codes. This verifies that the mechanic did more engine diagnostics. I mean you have paid hard earned money on repairs here; the least he can do is give you the trouble codes. This sounds like your typical repair shop taking advantage. A 2000 Integra with compression problems, I doubt it.
Do you still have a check engine light?
Originally Posted by 1Willow
I would welcome the ability to look up the definition of the Check Engine codes
These are the codes for 96+ found in the Integra FAQ thread.
0 ECU
1 Oxygen Content
3 Map Sensor
4 Crank Angle Sensor
5 Map Sensor
6 Coolent Temperature
7 Throttle Angle
8 TDC Position
9 No 1 Cylinder Position
10 Intake Air Temperature
63 Intake Air Temperature
12 Exhaust Gas Recirculation System
13 Atmosphere Pressure
14 Electronic Air Control
15 Ignition Output Signal
16 Fuel Injector
17 Vehicle Speed Sensor
20 Electronic Load Detector
21 VTEC Solenoid Valve (1.8L GSR)
22 VTEC Oil Pressure Switch (1.8L GSR)
23 Knock Sensor
30 TCM Signal A
31 TCM Signal B
41 O-2 Sensor Heater
43 Fuel Supply System
45 System Too Rich or Too Lean
48 Primary Heated O-2 Sensor
54 Crankshaft Speed Fluctuation Sensor
61 Primary O-2 Sensor Circuit
63 Secondary O-2 Sensor Circuit
67 Catalyst System
70 Automatic Transaxle
71-74 Random Misfire
80 Exhaust Gas Recirculation
86 Engine Coolant Temperature Circuit
90 Evaporative Emission Control System Leak Detected
91 Fuel Tank Pressure Circuit
92 Evaporative Emission Control System Insufficient
-Use the link above to learn how jump the ECU to retrieve codes. That website Shmoo posted even shows you how to check your own compression numbers.